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.

A293301 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} 1/(Sum_{j=0..k} (-1)^j*x^(j*i)/j!).

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%I A293301 #18 Oct 05 2017 11:22:21
%S A293301 1,1,0,1,1,0,1,1,4,0,1,1,3,18,0,1,1,3,12,120,0,1,1,3,13,66,840,0,1,1,
%T A293301 3,13,74,450,7920,0,1,1,3,13,73,510,3510,75600,0,1,1,3,13,73,500,4130,
%U A293301 32760,887040,0,1,1,3,13,73,501,4040,38430,335160,10886400,0,1,1,3
%N A293301 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} 1/(Sum_{j=0..k} (-1)^j*x^(j*i)/j!).
%H A293301 Seiichi Manyama, <a href="/A293301/b293301.txt">Antidiagonals n = 0..139, flattened</a>
%e A293301 Square array begins:
%e A293301    1,   1,   1,   1,   1, ...
%e A293301    0,   1,   1,   1,   1, ...
%e A293301    0,   4,   3,   3,   3, ...
%e A293301    0,  18,  12,  13,  13, ...
%e A293301    0, 120,  66,  74,  73, ...
%e A293301    0, 840, 450, 510, 500, ...
%Y A293301 Columns k=0..2 give A000007, A053529, A293302.
%Y A293301 Rows n=0 gives A000012.
%Y A293301 Main diagonal gives A000262.
%Y A293301 Cf. A293135, A293139, A293299.
%K A293301 nonn,tabl,look
%O A293301 0,9
%A A293301 _Seiichi Manyama_, Oct 05 2017