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A286352
Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + x^j)^k.
14
1, 1, 0, 1, -1, 0, 1, -2, 0, 0, 1, -3, 1, -1, 0, 1, -4, 3, -2, 1, 0, 1, -5, 6, -4, 4, -1, 0, 1, -6, 10, -8, 9, -4, 1, 0, 1, -7, 15, -15, 17, -12, 5, -1, 0, 1, -8, 21, -26, 30, -28, 15, -6, 2, 0, 1, -9, 28, -42, 51, -56, 38, -21, 9, -2, 0, 1, -10, 36, -64, 84
OFFSET
0,8
LINKS
FORMULA
G.f. of column k: Product_{j>=1} 1/(1 + x^j)^k.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
0, -1, -2, -3, -4, -5, ...
0, 0, 1, 3, 6, 10, ...
0, -1, -2, -4, -8, -15, ...
0, 1, 4, 9, 17, 30, ...
CROSSREFS
Columns k=0-32 give: A000007, A081362, A022597-A022627.
Main diagonal gives A255526.
Antidiagonal sums give A299208.
Cf. A286335.
Sequence in context: A291678 A286180 A291701 * A332898 A175045 A292377
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, May 08 2017
STATUS
approved