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%I #15 Nov 08 2017 09:15:21
%S 1,1,1,1,1,2,1,1,5,3,1,1,17,32,5,1,1,65,746,304,7,1,1,257,19748,66538,
%T 3537,11,1,1,1025,531698,16801060,9843827,52010,15,1,1,4097,14349932,
%U 4295564530,30535638897,2188210276,895397,22,1,1,16385,387424586,1099527026284,95371863254051,101591953731770,680615495493,18016416,30
%N Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1-j^(k*j)*x^j) in powers of x.
%H Seiichi Manyama, <a href="/A294758/b294758.txt">Antidiagonals n = 0..52, flattened</a>
%F A(0,k) = 1 and A(n,k) = (1/n) * Sum_{j=1..n} (Sum_{d|j} d^(1+k*j)) * A(n-j,k) for n > 0.
%e Square array begins:
%e 1, 1, 1, 1, ...
%e 1, 1, 1, 1, ...
%e 2, 5, 17, 65, ...
%e 3, 32, 746, 19748, ...
%e 5, 304, 66538, 16801060, ...
%Y Columns k=0..1 give A000041, A023882.
%Y Rows n=0-1 give A000012.
%Y Cf. A294653.
%K nonn,tabl
%O 0,6
%A _Seiichi Manyama_, Nov 08 2017
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