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.

A293139 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. Product_{i>0} Sum_{j=0..k} (-1)^j*x^(j*i)/j!.

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%I A293139 #17 Oct 04 2017 14:07:38
%S A293139 1,1,0,1,-1,0,1,-1,-2,0,1,-1,-1,0,0,1,-1,-1,0,0,0,1,-1,-1,-1,0,120,0,
%T A293139 1,-1,-1,-1,0,0,0,0,1,-1,-1,-1,1,20,180,5040,0,1,-1,-1,-1,1,20,180,0,
%U A293139 0,0,1,-1,-1,-1,1,19,150,1260,10080,0,0,1,-1,-1,-1,1,19
%N A293139 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. Product_{i>0} Sum_{j=0..k} (-1)^j*x^(j*i)/j!.
%H A293139 Seiichi Manyama, <a href="/A293139/b293139.txt">Antidiagonals n = 0..139, flattened</a>
%e A293139 Square array begins:
%e A293139    1,   1,  1,  1,  1, ...
%e A293139    0,  -1, -1, -1, -1, ...
%e A293139    0,  -2, -1, -1, -1, ...
%e A293139    0,   0,  0, -1, -1, ...
%e A293139    0,   0,  0,  0,  1, ...
%e A293139    0, 120,  0, 20, 20, ...
%Y A293139 Columns k=0..2 give A000007, A293140, A293141.
%Y A293139 Rows n=0 gives A000012.
%Y A293139 Main diagonal gives A293116.
%Y A293139 Cf. A293135.
%K A293139 sign,tabl,look
%O A293139 0,9
%A A293139 _Seiichi Manyama_, Oct 01 2017