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A277938 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1+x^j)^(j*k) in powers of x.

%I A277938 #27 Feb 04 2018 14:35:27
%S A277938 1,1,0,1,1,0,1,2,2,0,1,3,5,5,0,1,4,9,14,8,0,1,5,14,28,30,16,0,1,6,20,
%T A277938 48,72,68,28,0,1,7,27,75,141,183,145,49,0,1,8,35,110,245,396,443,298,
%U A277938 83,0,1,9,44,154,393,751,1058,1026,600,142,0,1,10,54,208
%N A277938 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1+x^j)^(j*k) in powers of x.
%H A277938 Seiichi Manyama, <a href="/A277938/b277938.txt">Antidiagonals n = 0..139, flattened</a>
%F A277938 G.f. of column k: Product_{j>=1} (1+x^j)^(j*k).
%e A277938 Square array begins:
%e A277938    1, 1,  1,  1,   1, ...
%e A277938    0, 1,  2,  3,   4, ...
%e A277938    0, 2,  5,  9,  14, ...
%e A277938    0, 5, 14, 28,  48, ...
%e A277938    0, 8, 30, 72, 141, ...
%Y A277938 Columns k=0-4 give: A000007, A026007, A026011, A027346, A027906.
%Y A277938 Rows n=0-3 give: A000012, A001477, A000096, A005586.
%Y A277938 Main diagonal gives A270922.
%Y A277938 Antidiagonal sums give A299167.
%Y A277938 Cf. A276554, A279928.
%K A277938 nonn,tabl
%O A277938 0,8
%A A277938 _Seiichi Manyama_, Apr 11 2017