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A276554
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.
8
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, -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, -9, 12, 42, -15, -51, -78, -54, -32, -2, 0, 1, -10, 18, 48, -49, -102
OFFSET
0,8
LINKS
FORMULA
G.f. of column k: Product_{j>=1} (1-x^j)^(j*k).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
0, -1, -2, -3, -4, ...
0, -2, -3, -3, -2, ...
0, -1, 2, 8, 16, ...
0, 0, 6, 12, 13, ...
CROSSREFS
Columns k=0-5 give: A000007, A073592, A276551, A276552, A316463, A316464.
Main diagonal gives A281267.
Antidiagonal sums give A299211.
Sequence in context: A362686 A104245 A185287 * A297323 A257654 A167637
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, Apr 10 2017
STATUS
approved