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.

A279928 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)^(j*k) in powers of x.

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%I A279928 #23 Feb 06 2018 11:46:05
%S A279928 1,1,0,1,-1,0,1,-2,-1,0,1,-3,-1,-2,0,1,-4,0,-2,1,0,1,-5,2,-1,7,0,0,1,
%T A279928 -6,5,0,15,2,4,0,1,-7,9,0,23,-3,10,2,0,1,-8,14,-2,30,-20,8,-8,8,0,1,
%U A279928 -9,20,-7,36,-51,2,-42,5,-2,0,1,-10,27,-16,42,-96,5,-88,6
%N A279928 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)^(j*k) in powers of x.
%H A279928 Seiichi Manyama, <a href="/A279928/b279928.txt">Antidiagonals n = 0..139, flattened</a>
%F A279928 G.f. of column k: Product_{j>=1} 1/(1+x^j)^(j*k).
%e A279928 Square array begins:
%e A279928    1,  1,  1,  1,  1, ...
%e A279928    0, -1, -2, -3, -4, ...
%e A279928    0, -1, -1,  0,  2, ...
%e A279928    0, -2, -2, -1,  0, ...
%e A279928    0,  1,  7, 15, 23, ...
%Y A279928 Columns k=0-5 give: A000007, A255528, A278710, A279031, A279411, A279932.
%Y A279928 Main diagonal gives A281266.
%Y A279928 Antidiagonal sums give A299212.
%Y A279928 Cf. A255961, A277938.
%K A279928 sign,tabl
%O A279928 0,8
%A A279928 _Seiichi Manyama_, Apr 11 2017