This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A336769 #26 Feb 01 2021 00:16:31 %S A336769 3,6,3,12,7,3,20,18,7,3,36,40,19,7,3,58,86,48,19,7,3,100,170,120,49, %T A336769 19,7,3,160,350,274,130,49,19,7,3,268,688,620,326,131,49,19,7,3,430, %U A336769 1394,1346,810,338,131,49,19,7,3,708,2702,2972,1912,884,339,131,49,19,7,3 %N A336769 Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 2D square grid confined to an infinite strip of height h where the walk starts at the origin. %F A336769 For n <= h, T(h,n) = A116903(n). %F A336769 Row 1 = T(1,n) = A038577(n). %F A336769 Row 2 = T(2,n) = A302408(n). %e A336769 T(1,3) = 12. The six 3-step walks taking a first step to the right or a first step upward followed by a step to the right are: %e A336769 . %e A336769 + +--+ +--+ +--+--+ +--+ %e A336769 | | | | | | %e A336769 +--+--+--+ +--+--+ +--+ +--+ + + + %e A336769 . %e A336769 The same steps can be taken to the left, giving a total of 2*6 = 12 walks. %e A336769 . %e A336769 The table begins: %e A336769 . %e A336769 3 6 12 20 36 58 100 160 268 430 708 1140 1860 3002 4876 7880... %e A336769 3 7 18 40 86 170 350 688 1394 2702 5338 10278 20078 38578 74820 143496... %e A336769 3 7 19 48 120 274 620 1346 2972 6402 13994 29870 64412 136308 291008 612920... %e A336769 3 7 19 49 130 326 810 1912 4486 10262 23634 53642 122624 276524 627248 1405154... %e A336769 3 7 19 49 131 338 884 2228 5560 13438 32320 76440 181202 425138 1001128 2336886... %e A336769 3 7 19 49 131 339 898 2328 6050 15320 38478 94642 231798 560794 1357098 3258148... %e A336769 3 7 19 49 131 339 899 2344 6180 16040 41572 105806 267560 666682 1655140 4070280... %e A336769 3 7 19 49 131 339 899 2345 6198 16204 42586 110636 286682 733032 1865008 4693178... %e A336769 3 7 19 49 131 339 899 2345 6199 16224 42788 112016 293908 764248 1982070 5089002... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42810 112260 295734 774682 2030988 5286652... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42811 112284 296024 777042 2045610 5360672... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42811 112285 296050 777382 2048600 5380646... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42811 112285 296051 777410 2048994 5384370... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42811 112285 296051 777411 2049024 5384822... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42811 112285 296051 777411 2049025 5384854... %e A336769 3 7 19 49 131 339 899 2345 6199 16225 42811 112285 296051 777411 2049025 5384855... %e A336769 ... %Y A336769 Cf. A116903 (h->infinity), A038577 (h=1), A302408 (h=2), A001411, A038373. %K A336769 nonn,walk,tabl %O A336769 1,1 %A A336769 _Scott R. Shannon_, Aug 04 2020