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 A085388 #23 Dec 21 2022 22:13:02 %S A085388 1,1,0,1,1,0,1,2,2,0,1,3,6,4,0,1,4,12,18,8,0,1,5,20,48,54,16,0,1,6,30, %T A085388 100,192,162,32,0,1,7,42,180,500,768,486,64,0,1,8,56,294,1080,2500, %U A085388 3072,1458,128,0,1,9,72,448,2058,6480,12500,12288,4374,256,0,1,10,90,648 %N A085388 First differences of n^k. %C A085388 T(n,k) is the number of k-digit numbers in base n; n,k >= 2. - _Mohammed Yaseen_, Nov 11 2022 %F A085388 T(n,k) = (n-1)*n^(k-1) + 0^k/n. - Corrected by _Mohammed Yaseen_, Nov 11 2022 %F A085388 T(n,0) = 1; T(n,k) = n^k - n^(k-1) for k >= 1. - _Mohammed Yaseen_, Nov 11 2022 %e A085388 Rows begin %e A085388 1, 0, 0, 0, 0, ... %e A085388 1, 1, 2, 4, 8, ... %e A085388 1, 2, 6, 18, 54, ... %e A085388 1, 3, 12, 48, 192, ... %e A085388 1, 4, 20, 100, 500, ... %Y A085388 Rows include A011782, A025192, A002001, A005054, A052934, A055272, A055274, A055275, A052268, A055276. %Y A085388 Diagonals include A053506, A085389, A085390. %Y A085388 Row-wise binomial transform is A083064. %K A085388 easy,nonn,tabl %O A085388 1,8 %A A085388 _Paul Barry_, Jun 30 2003 %E A085388 Offset corrected by _Mohammed Yaseen_, Nov 11 2022