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A293486 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} x^(j*(2*i-1))/j!.

%I A293486 #15 Oct 10 2017 20:02:39
%S A293486 1,1,0,1,1,0,1,1,0,0,1,1,1,6,0,1,1,1,6,24,0,1,1,1,7,24,120,0,1,1,1,7,
%T A293486 24,180,720,0,1,1,1,7,25,180,1080,5040,0,1,1,1,7,25,180,1200,10080,
%U A293486 80640,0,1,1,1,7,25,181,1200,10080,90720,725760,0,1,1,1,7,25
%N A293486 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} x^(j*(2*i-1))/j!.
%H A293486 Seiichi Manyama, <a href="/A293486/b293486.txt">Antidiagonals n = 0..139, flattened</a>
%e A293486 Square array begins:
%e A293486    1,   1,   1,   1,   1, ...
%e A293486    0,   1,   1,   1,   1, ...
%e A293486    0,   0,   1,   1,   1, ...
%e A293486    0,   6,   6,   7,   7, ...
%e A293486    0,  24,  24,  24,  25, ...
%e A293486    0, 120, 180, 180, 180, ...
%Y A293486 Columns k=0..3 give A000007, A293487, A293488, A293489.
%Y A293486 Rows n=0 gives A000012.
%Y A293486 Main diagonal gives A088009.
%Y A293486 Cf. A293135.
%K A293486 nonn,tabl
%O A293486 0,14
%A A293486 _Seiichi Manyama_, Oct 10 2017