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 A255740 #38 Mar 16 2015 09:42:34 %S A255740 1,1,0,1,1,0,1,2,1,0,1,3,2,0,0,1,4,3,2,1,0,1,5,4,6,2,0,0,1,6,5,12,3,2, %T A255740 0,0,1,7,6,20,4,6,2,0,0,1,8,7,30,5,12,6,2,1,0,1,9,8,42,6,20,12,12,2,0, %U A255740 0,1,10,9,56,7,30,20,36,3,2,0,0,1,11,10,72,8,42,30,80,4,6,2,0,0,1,12,11,90,9,56,42,150,5,12,6,2,0,0 %N A255740 Square array read by antidiagonals upwards: T(n,1) = 1; for k > 1, T(n,k) = (n-1)*(n-2)^(A000120(k-1)-1) with n >= 1. %C A255740 The partial sums of row n give the n-th row of the square array A255741. %H A255740 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a> %F A255740 T(n,1) = 1; for k > 1, T(n,k) = (n-1)*(n-2)^(A000120(k-1)-1) with n >= 1. %e A255740 The corner of the square array with the first 16 terms of the first 12 rows looks like this: %e A255740 ------------------------------------------------------------------------- %e A255740 A000007: 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 %e A255740 A255738: 1, 1, 1, 0, 1, 0, 0, 0 1, 0, 0, 0, 0, 0, 0, 0 %e A255740 A040000: 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 %e A255740 A151787: 1, 3, 3, 6, 3, 6, 6, 12, 3, 6, 6, 12, 6, 12, 12, 24 %e A255740 A147582: 1, 4, 4, 12, 4, 12, 12, 36, 4, 12, 12, 36, 12, 36, 36, 108 %e A255740 A151789: 1, 5, 5, 20, 5, 20, 20, 80, 5, 20, 20, 80, 20, 80, 80, 320 %e A255740 A151779: 1, 6, 6, 30, 6, 30, 30, 150, 6, 30, 30, 150, 30, 150, 150, 750 %e A255740 A151791: 1, 7, 7, 42, 7, 42, 42, 252, 7, 42, 42, 252, 42, 252, 252, 1512 %e A255740 A151782: 1, 8, 8, 56, 8, 56, 56, 392, 8, 56, 56, 392, 56, 392, 392, 2744 %e A255740 A255743: 1, 9, 9, 72, 9, 72, 72, 576, 9, 72, 72, 576, 72, 576, 576, 4608 %e A255740 A255744: 1,10,10, 90,10, 90, 90, 810,10, 90, 90, 810, 90, 810, 810, 7290 %e A255740 A255745: 1,11,11,110,11,110,110,1100,11,110,110,1100,110,1100,1100,11000 %e A255740 ... %o A255740 (PARI) tabl(nn) = {for (n=1, nn, for (k=1, nn, if (k==1, x = 1, x= (n-1)*(n-2)^(hammingweight(k-1)-1)); print1(x, ", ");); print(););} \\ _Michel Marcus_, Mar 15 2015 %Y A255740 Cf. A000120, A255741. %Y A255740 Rows 1-12: A000007, A255738, A040000, A151787, A147582, A151789, A151779, A151791, A151782, A255743, A255744, A255745. %Y A255740 Column 1 is A000012. %Y A255740 Columns 2^k+1, for k >=0: A011477. %Y A255740 Columns 4, 6, 7, 10, 11, 13...: 0 together with A002378. %K A255740 nonn,tabl %O A255740 1,8 %A A255740 _Omar E. Pol_, Mar 05 2015