# Results of 1.1*10^9 | Exact counts # simulated 3D STWs | # ################## ################################################################ # Moves,Trapped Faileds All Walks Self- # Count walks attempts A001412 trapping 0 0 7260 1 walks 1 0 22981 6 (only 1/48 counted) 2 0 44691 30 3 0 68997 150 4 0 93540 726 5 0 118264 3534 6 0 142297 16926 7 0 164187 81390 Probability of occurrence 8 0 184925 387966 A077820 Exact Simulation 9 0 205281 1853886 A077819 | 10 0 224255 8809878 A077817 A077818 | | 11 4503 241632 41934150 5 40/(5^10 * 3^0 * 2^ 0) 1/244140.6 1/244281.6 (=1.1*10^9/4503) 12 4289 258076 198842742 20 190/(5^11 * 3^0 * 2^ 0) 1/256990.1 1/256470.0 13 11916 273233 943974510 229 15925/(5^12 * 3^1 * 2^ 1) 1/ 91983.9 1/ 92312.9 14 11027 288387 4468911768 921 48795/(5^13 * 3^0 * 2^ 2) 1/100067.9 1/ 99755.1 15 20155 301744 21175146054 7156 86221819/(5^14 * 3^1 * 2^ 8) 1/ 54365.6 1/ 54577.0 16 18503 313781 100121875974 29567 28522360751/(5^15 * 3^3 * 2^11) 1/ 59164.1 1/ 59449.8 17 28446 326594 473730252102 193932 583791967829/(5^16 * 3^2 * 2^14) 1/ 38541.1 1/ 38669.8 18 26249 337398 2237723684094 821797 1801511107253/(5^17 * 3^1 * 2^15) 1/ 41631.7 1/ 41906.4 19 36363 348019 10576033219614 4902336 32337280749408865/(5^18*3^5*2^20) 1/ 30058.s 1/ 33057.3 20 34401 359651 21 44403 368423 22 41542 378753 23 51582 387151 24 48364 395792 25 58439 404116 26 55490 411101 27 64979 419122 28 62626 425571 29 71230 433517 30 68425 439336 31 77257 445812 32 74604 452570 33 81648 458025 34 79479 462402 35 86860 468155 36 84430 473267 37 91429 478314 38 89230 483159 39 96581 487191 40 93777 492363 41 101052 496007 42 97977 500762 43 104864 504461 44 102670 508493 45 108633 513123 46 106439 514426 47 112202 520963 48 109676 522693 49 115985 526490 50 113604 529549 51 119127 531182 52 116788 535225 53 122553 537834 54 120294 542376 55 124959 544080 56 123534 545274 57 128872 548622 58 126602 551334 59 130961 554233 60 129203 555859 61 133514 558472 62 131767 561023 63 136428 563466 64 134592 565760 65 138619 567350 66 136375 568406 67 141318 571256 68 139456 572902 69 144234 575378 70 141877 577697 71 145702 578795 72 144339 579935 73 147371 580808 74 145965 582691 75 149562 585500 76 148526 587224 77 151493 588098 78 151062 590329 79 153582 591737 80 152635 592378 81 154983 595171 82 154225 594656 83 157629 595879 84 155844 595850 85 159302 598969 86 157463 599027 87 161058 600721 88 158987 601886 89 161787 603372 90 160716 604945 91 163087 605741 92 162741 605563 93 164711 608126 94 164206 608340 95 166625 610148 96 165730 611626 97 167593 611547 98 167604 612870 99 168590 614373 100 168005 613545 101 171294 614857 102 169083 616210 103 172027 616946 104 171307 616794 105 172787 618691 106 172086 619382 107 174221 619227 108 173902 620901 109 175868 621192 110 174709 623830 111 177248 622192 112 175745 623757 113 178096 623592 114 177788 625694 115 179084 625215 116 178299 625296 117 179800 625988 118 179237 627272 119 181246 626094 120 180869 627067 121 182272 629283 122 180861 628887 123 183450 629475 124 181903 629397 125 183826 630659 126 183701 631398 127 184924 631925 128 184856 632361 129 185929 631763 130 184755 632791 131 187081 632107 132 186210 633510 133 188647 633881 134 187297 635081 135 188389 635586 136 188266 636538 137 189318 634581 138 189303 636001 139 191080 635959 140 190061 636970 141 191495 636001 142 190759 636339 143 192260 637252 144 190984 636327 145 192890 638287 146 192661 638483 147 193670 637734 148 193218 637856 149 194090 639114 150 193338 638974 151 194452 640547 152 193997 638649 153 195460 639585 154 194791 639626 155 195905 640063 156 195676 640307 157 196748 639807 158 196716 639991 159 197909 639724 160 196925 639658 161 198066 641843 162 197977 639626 163 198493 641874 164 198470 641340 165 200433 641652 166 198272 640776 167 199672 640351 168 199584 642180 169 200261 641110 170 200738 641409 171 200805 641882 172 200839 642876 173 202687 643124 174 200889 642299 175 202688 642233 176 202374 642040 177 203107 643017 178 203307 642397 179 204348 643713 180 202980 643751 181 204808 641378 182 203539 642305 183 204048 643347 184 203642 643893 185 205621 642560 186 204552 642880 187 205717 642219 188 204935 642811 189 206118 642695 190 206069 643380 191 206113 643591 192 206209 644431 193 206122 643340 194 206542 643175 195 207327 642870 196 206654 641710 197 208134 642840 198 207626 642392 199 208665 643346 200 207469 643239