cp's OEIS Frontend

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.

A286352 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + x^j)^k.

This page as a plain text file.
%I A286352 #20 Feb 06 2018 11:45:45
%S A286352 1,1,0,1,-1,0,1,-2,0,0,1,-3,1,-1,0,1,-4,3,-2,1,0,1,-5,6,-4,4,-1,0,1,
%T A286352 -6,10,-8,9,-4,1,0,1,-7,15,-15,17,-12,5,-1,0,1,-8,21,-26,30,-28,15,-6,
%U A286352 2,0,1,-9,28,-42,51,-56,38,-21,9,-2,0,1,-10,36,-64,84
%N A286352 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + x^j)^k.
%H A286352 Seiichi Manyama, <a href="/A286352/b286352.txt">Antidiagonals n = 0..139, flattened</a>
%F A286352 G.f. of column k: Product_{j>=1} 1/(1 + x^j)^k.
%e A286352 Square array begins:
%e A286352    1,  1,  1,  1,  1,   1, ...
%e A286352    0, -1, -2, -3, -4,  -5, ...
%e A286352    0,  0,  1,  3,  6,  10, ...
%e A286352    0, -1, -2, -4, -8, -15, ...
%e A286352    0,  1,  4,  9, 17,  30, ...
%Y A286352 Columns k=0-32 give: A000007, A081362, A022597-A022627.
%Y A286352 Main diagonal gives A255526.
%Y A286352 Antidiagonal sums give A299208.
%Y A286352 Cf. A286335.
%K A286352 sign,tabl
%O A286352 0,8
%A A286352 _Seiichi Manyama_, May 08 2017