A276554 - OEIS

%I #34 Jul 04 2018 11:58:00

%S 1,1,0,1,-1,0,1,-2,-2,0,1,-3,-3,-1,0,1,-4,-3,2,0,0,1,-5,-2,8,6,4,0,1,

%T -6,0,16,12,12,4,0,1,-7,3,25,13,9,1,7,0,1,-8,7,34,5,-12,-29,-10,3,0,1,

%U -9,12,42,-15,-51,-78,-54,-32,-2,0,1,-10,18,48,-49,-102

%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="/A276554/b276554.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, -3, -3, -2, ...

%e    0, -1,  2,  8, 16, ...

%e    0,  0,  6, 12, 13, ...

%Y Columns k=0-5 give: A000007, A073592, A276551, A276552, A316463, A316464.

%Y Main diagonal gives A281267.

%Y Antidiagonal sums give A299211.

%Y Cf. A255961, A277938.

%K sign,tabl

%O 0,8

%A _Seiichi Manyama_, Apr 10 2017