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 A249677 #19 Sep 24 2021 16:35:08
%S A249677 1,1,1,1,9,8,1,36,251,216,1,100,2555,16280,13824,1,225,15055,335655,
%T A249677 2048824,1728000,1,441,63655,3587535,74550304,444273984,373248000,1,
%U A249677 784,214918,25421200,1305074809,26015028256,152759224512,128024064000,1,1296,616326,135459216,14320729209,694213330464,13472453691584,78340747014144,65548320768000
%N A249677 Triangle, read by rows, with row n forming the coefficients in Product_{k=0..n} (1 + k^3*x).
%C A249677 Column 1 forms the squares of the triangular numbers (A000537).
%C A249677 Main diagonal forms the cubes of the factorial numbers (A000442).
%C A249677 Row sums equal Product_{k=1..n} (k^3 + 1) = n!*Product_{k=1..n} (k*(k-1) + 1) = n!*A130032(n).
%H A249677 Seiichi Manyama, <a href="/A249677/b249677.txt">Rows n = 0..139, flattened</a>
%e A249677 Triangle begins:
%e A249677 1;
%e A249677 1, 1;
%e A249677 1, 9, 8;
%e A249677 1, 36, 251, 216;
%e A249677 1, 100, 2555, 16280, 13824;
%e A249677 1, 225, 15055, 335655, 2048824, 1728000;
%e A249677 1, 441, 63655, 3587535, 74550304, 444273984, 373248000;
%e A249677 1, 784, 214918, 25421200, 1305074809, 26015028256, 152759224512, 128024064000;
%e A249677 1, 1296, 616326, 135459216, 14320729209, 694213330464, 13472453691584, 78340747014144, 65548320768000; ...
%o A249677 (PARI) {T(n,k)=polcoeff(prod(m=0,n,1 + m^3*x +x*O(x^n)),k)}
%o A249677 for(n=0,10,for(k=0,n,print1(T(n,k),", "));print(""))
%Y A249677 Cf. A000537, A000442, A008955, A107415, A130032.
%K A249677 nonn,tabl
%O A249677 0,5
%A A249677 _Paul D. Hanna_, Nov 03 2014