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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. 6

%I

%S 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 48,72,68,28,0,1,7,27,75,141,183,145,49,0,1,8,35,110,245,396,443,298,

%U 83,0,1,9,44,154,393,751,1058,1026,600,142,0,1,10,54,208

%N 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 Seiichi Manyama, <a href="/A277938/b277938.txt">Antidiagonals n = 0..139, flattened</a>

%F G.f. of column k: Product_{j>=1} (1+x^j)^(j*k).

%e Square array begins:

%e 1, 1, 1, 1, 1, ...

%e 0, 1, 2, 3, 4, ...

%e 0, 2, 5, 9, 14, ...

%e 0, 5, 14, 28, 48, ...

%e 0, 8, 30, 72, 141, ...

%Y Columns k=0-4 give: A000007, A026007, A026011, A027346, A027906.

%Y Rows n=0-3 give: A000012, A001477, A000096, A005586.

%Y Main diagonal gives A270922.

%Y Antidiagonal sums give A299167.

%Y Cf. A276554, A279928.

%K nonn,tabl

%O 0,8

%A _Seiichi Manyama_, Apr 11 2017

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Last modified February 15 20:32 EST 2019. Contains 320138 sequences. (Running on oeis4.)