LENGTH OF WALK: 7 ITRAP: 2 IPATH: 543 PROB = 1/ 364.500000000000 NR 1/PROBABILITY COUNT P3 P2 1 729 2 6 0 DEN= 729 NUM= 2 NUM/DEN= 2/729 P2= 0 P3= 6 P( 7) = 1 / (3^ 7*2^-1) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 8 ITRAP: 4 IPATH: 1479 PROB = 1/ 437.400000000000 NR 1/PROBABILITY COUNT P3 P2 1 1458 2 6 1 < Maximally 2-constrained walk 2 2187 2 7 0 DEN= 4374 NUM= 10 NUM/DEN= 5/2187 P2= 0 P3= 7 P( 8) = 5 / (3^ 7*2^ 0) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 9 ITRAP: 22 IPATH: 4067 PROB = 1/ 211.645161290323 NR 1/PROBABILITY COUNT P3 P2 1 4374 18 7 1 < 2 6561 4 8 0 DEN= 13122 NUM= 62 NUM/DEN= 31/6561 P2= 0 P3= 8 P( 9) = 31 / (3^ 8*2^ 0) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 10 ITRAP: 50 IPATH: 11025 PROB = 1/ 227.549132947977 NR 1/PROBABILITY COUNT P3 P2 1 6561 4 8 0 2 8748 14 7 2 < 3 13122 22 8 1 4 19683 10 9 0 << Unconstrained Walk DEN= 78732 NUM= 346 NUM/DEN= 173/39366 P2= 1 P3= 9 P(10) = 173 / (3^ 9*2^ 1) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 11 ITRAP: 190 IPATH: 30073 PROB = 1/ 155.289940828402 NR 1/PROBABILITY COUNT P3 P2 1 13122 6 8 1 2 17496 6 7 3 < 3 19683 12 9 0 4 26244 84 8 2 5 39366 52 9 1 6 59049 30 10 0 DEN= 472392 NUM= 3042 NUM/DEN= 169/26244 P2= 2 P3= 8 P(11) = 1521 / (3^10*2^ 2) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 12 ITRAP: 456 IPATH: 81233 PROB = 1/ 167.752840909091 NR 1/PROBABILITY COUNT P3 P2 1 39366 54 9 1 2 52488 72 8 3 < 3 59049 14 10 0 4 78732 112 9 2 5 118098 144 10 1 6 177147 60 11 0 DEN= 1417176 NUM= 8448 NUM/DEN= 352/59049 P2= 0 P3= 10 P(12) = 4224 / (3^11*2^ 2) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 13 ITRAP: 1504 IPATH: 220375 PROB = 1/ 127.222694356337 NR 1/PROBABILITY COUNT P3 P2 1 59049 14 10 0 2 78732 82 9 2 3 104976 52 8 4 < 4 118098 132 10 1 5 157464 316 9 3 6 177147 32 11 0 7 236196 320 10 2 8 354294 404 11 1 9 531441 152 12 0 DEN= 8503056 NUM= 66836 NUM/DEN= 16709/2125764 P2= 2 P3= 12 P(13) = 33418 / (3^12*2^ 3) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 14 ITRAP: 3720 IPATH: 593611 PROB = 1/ 138.499036284563 NR 1/PROBABILITY COUNT P3 P2 1 118098 18 10 1 2 157464 30 9 3 3 177147 26 11 0 4 209952 26 8 5 < 5 236196 366 10 2 6 314928 276 9 4 7 354294 196 11 1 8 472392 492 10 3 9 531441 94 12 0 10 708588 956 11 2 11 1062882 900 12 1 12 1594323 340 13 0 DEN= 51018336 NUM= 368366 NUM/DEN= 184183/25509168 P2= 4 P3= 13 P(14) = 184183 / (3^13*2^ 4) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 15 ITRAP: 11482 IPATH: 1604149 PROB = 1/ 111.718250026095 NR 1/PROBABILITY COUNT P3 P2 1 236196 12 10 2 2 314928 22 9 4 3 354294 218 11 1 4 419904 2 8 6 < 5 472392 588 10 3 6 531441 50 12 0 7 629856 316 9 5 8 708588 854 11 2 9 944784 1032 10 4 10 1062882 586 12 1 11 1417176 1706 11 3 12 1594323 222 13 0 13 2125764 2704 12 2 14 3188646 2326 13 1 15 4782969 844 14 0 DEN= 306110016 NUM= 2740018 NUM/DEN= 1370009/153055008 P2= 5 P3= 14 P(15) = 1370009 / (3^14*2^ 5) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 16 ITRAP: 28954 IPATH: 4311333 PROB = 1/ 120.881508143299 NR 1/PROBABILITY COUNT P3 P2 1 531441 30 12 0 2 708588 278 11 2 3 944784 424 10 4 4 1062882 380 12 1 5 1259712 200 9 6 < 6 1417176 1810 11 3 7 1594323 90 13 0 8 1889568 1008 10 5 9 2125764 1610 12 2 10 2834352 2030 11 4 11 3188646 1548 13 1 12 4251528 5080 12 3 13 4782969 514 14 0 14 6377292 6480 13 2 15 9565938 5550 14 1 16 14348907 1922 15 0 DEN= 918330048 NUM= 7596944 NUM/DEN= 474809/57395628 P2= 2 P3= 15 P(16) = 3798472 / (3^15*2^ 5) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 17 ITRAP: 85878 IPATH: 11616669 PROB = 1/ 102.199335490536 NR 1/PROBABILITY COUNT P3 P2 1 1062882 80 12 1 2 1417176 332 11 3 3 1594323 84 13 0 4 1889568 394 10 5 5 2125764 1674 12 2 6 2519424 108 9 7 < 7 2834352 3036 11 4 8 3188646 802 13 1 9 3779136 1324 10 6 10 4251528 4584 12 3 11 4782969 268 14 0 12 5668704 3528 11 5 13 6377292 5376 13 2 14 8503056 7956 12 4 15 9565938 3906 14 1 16 12754584 14736 13 3 17 14348907 1258 15 0 18 19131876 17732 14 2 19 28697814 14022 15 1 20 43046721 4678 16 0 DEN= 5509980288 NUM= 53914052 NUM/DEN= 13478513/1377495072 P2= 5 P3= 16 P(17) = 26957026 / (3^16*2^ 6) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 18 ITRAP: 219516 IPATH: 31164683 PROB = 1/ 109.907020814531 NR 1/PROBABILITY COUNT P3 P2 1 2125764 66 12 2 2 2834352 114 11 4 3 3188646 514 13 1 4 3779136 102 10 6 5 4251528 2406 12 3 6 4782969 120 14 0 7 5038848 38 9 8 < 8 5668704 3028 11 5 9 6377292 3024 13 2 10 7558272 1022 10 7 11 8503056 7808 12 4 12 9565938 1846 14 1 13 11337408 3470 11 6 14 12754584 10848 13 3 15 14348907 620 15 0 16 17006112 9042 12 5 17 19131876 13882 14 2 18 25509168 23384 13 4 19 28697814 9300 15 1 20 38263752 37198 14 3 21 43046721 2950 16 0 22 57395628 44486 15 2 23 86093442 33468 16 1 24 129140163 10780 17 0 DEN= 33059881728 NUM= 300798634 NUM/DEN= 150399317/16529940864 P2= 7 P3= 17 P(18) = 150399317 / (3^17*2^ 7) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 19 ITRAP: 634294 IPATH: 83779155 PROB = 1/ 95.8521431158852 NR 1/PROBABILITY COUNT P3 P2 1 3188646 6 13 1 2 4251528 78 12 3 3 4782969 74 14 0 4 5668704 122 11 5 5 6377292 1386 13 2 6 7558272 96 10 7 7 8503056 3628 12 4 8 9565938 1336 14 1 9 10077696 14 9 9 < 10 11337408 3258 11 6 11 12754584 9480 13 3 12 14348907 274 15 0 13 15116544 874 10 8 14 17006112 13272 12 5 15 19131876 7760 14 2 16 22674816 4750 11 7 17 25509168 23500 13 4 18 28697814 5276 15 1 19 34012224 13006 12 6 20 38263752 36402 14 3 21 43046721 1518 16 0 22 51018336 35514 13 5 23 57395628 36972 15 2 24 76527504 70462 14 4 25 86093442 23982 16 1 26 114791256 107056 15 3 27 129140163 7152 17 0 28 172186884 117510 16 2 29 258280326 83582 17 1 30 387420489 25954 18 0 DEN= 198359290368 NUM= 2069429894 NUM/DEN= 1034714947/99179645184 P2= 8 P3= 18 P(19) = 1034714947 / (3^18*2^ 8) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 20 ITRAP: 1636458 IPATH: 224424291 PROB = 1/ 102.680918669364 NR 1/PROBABILITY COUNT P3 P2 1 9565938 206 14 1 2 12754584 1520 13 3 3 14348907 164 15 0 4 17006112 2328 12 5 5 19131876 4652 14 2 6 22674816 1810 11 7 7 25509168 14880 13 4 8 28697814 2232 15 1 9 30233088 494 10 9 < 10 34012224 15054 12 6 11 38263752 19560 14 3 12 43046721 662 16 0 13 45349632 4060 11 8 14 51018336 33712 13 5 15 57395628 19536 15 2 16 68024448 12684 12 7 17 76527504 63790 14 4 18 86093442 12684 16 1 19 102036672 39444 13 6 20 114791256 95638 15 3 21 129140163 3548 17 0 22 153055008 103444 14 5 23 172186884 91826 16 2 24 229582512 186828 15 4 25 258280326 58044 17 1 26 344373768 278254 16 3 27 387420489 16838 18 0 28 516560652 292394 17 2 29 774840978 200054 18 1 30 1162261467 60118 19 0 DEN= 595077871104 NUM= 5795408522 NUM/DEN= 2897704261/297538935552 P2= 8 P3= 19 P(20) = 2897704261 / (3^19*2^ 8) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 21 ITRAP: 4645024 IPATH: 602201507 PROB = 1/ 91.5773337179735 NR 1/PROBABILITY COUNT P3 P2 1 14348907 16 15 0 2 19131876 502 14 2 3 25509168 2112 13 4 4 28697814 1480 15 1 5 34012224 2754 12 6 6 38263752 12524 14 3 7 43046721 342 16 0 8 45349632 1720 11 8 9 51018336 24592 13 5 10 57395628 12198 15 2 11 60466176 294 10 10 < 12 68024448 18282 12 7 13 76527504 48600 14 4 14 86093442 6092 16 1 15 90699264 4484 11 9 16 102036672 54430 13 6 17 114791256 59762 15 3 18 129140163 1676 17 0 19 136048896 16242 12 8 20 153055008 118902 14 5 21 172186884 56458 16 2 22 204073344 52210 13 7 23 229582512 210444 15 4 24 258280326 32408 17 1 25 306110016 150502 14 6 26 344373768 266944 16 3 27 387420489 8724 18 0 28 459165024 322298 15 5 29 516560652 246872 17 2 30 688747536 560328 16 4 31 774840978 145930 18 1 32 1033121304 764574 17 3 33 1162261467 40634 19 0 34 1549681956 761174 18 2 35 2324522934 494684 19 1 36 3486784401 143836 20 0 DEN= 3570467226624 NUM= 38988547510 NUM/DEN= 19494273755/1785233613312 P2= 9 P3= 20 P(21) = 19494273755 / (3^20*2^ 9) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 22 ITRAP: 12060586 IPATH: 1611140121 PROB = 1/ 97.7143118325278 NR 1/PROBABILITY COUNT P3 P2 1 28697814 32 15 1 2 38263752 402 14 3 3 43046721 154 16 0 4 51018336 920 13 5 5 57395628 3832 15 2 6 68024448 928 12 7 7 76527504 16228 14 4 8 86093442 3042 16 1 9 90699264 566 11 9 10 102036672 21780 13 6 11 114791256 31890 15 3 12 120932352 136 10 11 < 13 129140163 612 17 0 14 136048896 14090 12 8 15 153055008 76500 14 5 16 172186884 25096 16 2 17 181398528 2996 11 10 18 204073344 63604 13 7 19 229582512 119448 15 4 20 258280326 14740 17 1 21 272097792 15084 12 9 22 306110016 152504 14 6 23 344373768 154876 16 3 24 387420489 3916 18 0 25 408146688 49672 13 8 26 459165024 341804 15 5 27 516560652 140020 17 2 28 612220032 168306 14 7 29 688747536 569016 16 4 30 774840978 77926 18 1 31 918330048 441206 15 6 32 1033121304 690318 17 3 33 1162261467 20534 19 0 34 1377495072 890342 16 5 35 1549681956 618676 18 2 36 2066242608 1503998 17 4 37 2324522934 354032 19 1 38 3099363912 1967134 18 3 39 3486784401 95910 20 0 40 4649045868 1890088 19 2 41 6973568802 1184190 20 1 42 10460353203 334038 21 0 DEN= 21422803359744 NUM= 219239157048 NUM/DEN= 9134964877/892616806656 P2= 8 P3= 20 P(22) = 109619578524 / (3^21*2^10) C...+....1....+....2....+....3....+....4....+....5....+....6....+....7.. LENGTH OF WALK: 23 ITRAP: 33801082 IPATH: 4316653453 PROB = 1/ 88.7125709277134 NR 1/PROBABILITY COUNT P3 P2 1 57395628 84 15 2 2 76527504 488 14 4 3 86093442 852 16 1 4 102036672 872 13 6 5 114791256 9208 15 3 6 129140163 410 17 0 7 136048896 852 12 8 8 153055008 25940 14 5 9 172186884 15674 16 2 10 181398528 446 11 10 11 204073344 28574 13 7 12 229582512 80920 15 4 13 241864704 54 10 12 < 14 258280326 7322 17 1 15 272097792 14796 12 9 16 306110016 128064 14 6 17 344373768 92518 16 3 18 362797056 2684 11 11 19 387420489 1626 18 0 20 408146688 82332 13 8 21 459165024 251688 15 5 22 516560652 72868 17 2 23 544195584 17580 12 10 24 612220032 230538 14 7 25 688747536 395282 16 4 26 774840978 38814 18 1 27 816293376 60408 13 9 28 918330048 579104 15 6 29 1033121304 458346 17 3 30 1162261467 9572 19 0 31 1224440064 213548 14 8 32 1377495072 1119082 16 5 33 1549681956 374662 18 2 34 1836660096 624556 15 7 35 2066242608 1655578 17 4 36 2324522934 199656 19 1 37 2754990144 1420948 16 6 38 3099363912 1921692 18 3 39 3486784401 50178 20 0 40 4132485216 2743278 17 5 41 4649045868 1614408 19 2 42 6198727824 4279010 18 4 43 6973568802 883698 20 1 44 9298091736 5308254 19 3 45 10460353203 230104 21 0 46 13947137604 4850232 20 2 47 20920706406 2908900 21 1 48 31381059609 795382 22 0 DEN= 128536820158464 NUM= 1448913257782 NUM/DEN= 724456628891/64268410079232 P2= 11 P3= 22 P(23) = 724456628891 / (3^22*2^11)