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A293307 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} 1/(1 + Sum_{j=1..k} (-1)^j*j*x^(j*i)).

%I A293307 #22 Jan 06 2018 18:45:15
%S A293307 1,1,0,1,1,0,1,1,2,0,1,1,0,3,0,1,1,0,-1,5,0,1,1,0,2,-1,7,0,1,1,0,2,5,
%T A293307 3,11,0,1,1,0,2,1,3,3,15,0,1,1,0,2,1,-5,0,-1,22,0,1,1,0,2,1,0,0,11,-8,
%U A293307 30,0,1,1,0,2,1,0,10,7,25,-8,42,0,1,1,0,2,1,0
%N A293307 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} 1/(1 + Sum_{j=1..k} (-1)^j*j*x^(j*i)).
%H A293307 Seiichi Manyama, <a href="/A293307/b293307.txt">Antidiagonals n = 0..139, flattened</a>
%e A293307 Square array begins:
%e A293307    1, 1,  1, 1,  1, ...
%e A293307    0, 1,  1, 1,  1, ...
%e A293307    0, 2,  0, 0,  0, ...
%e A293307    0, 3, -1, 2,  2, ...
%e A293307    0, 5, -1, 5,  1, ...
%e A293307    0, 7,  3, 3, -5, ...
%Y A293307 Columns k=0..2 give A000007, A000041, A293294.
%Y A293307 Rows n=0..1 give A000012, A057427.
%Y A293307 Main diagonal gives A122792.
%Y A293307 Cf. A293293, A293305.
%K A293307 sign,tabl
%O A293307 0,9
%A A293307 _Seiichi Manyama_, Oct 05 2017