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A279928
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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)^(j*k) in powers of x.
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6
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1, 1, 0, 1, -1, 0, 1, -2, -1, 0, 1, -3, -1, -2, 0, 1, -4, 0, -2, 1, 0, 1, -5, 2, -1, 7, 0, 0, 1, -6, 5, 0, 15, 2, 4, 0, 1, -7, 9, 0, 23, -3, 10, 2, 0, 1, -8, 14, -2, 30, -20, 8, -8, 8, 0, 1, -9, 20, -7, 36, -51, 2, -42, 5, -2, 0, 1, -10, 27, -16, 42, -96, 5, -88, 6
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OFFSET
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0,8
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LINKS
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Seiichi Manyama, Antidiagonals n = 0..139, flattened
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FORMULA
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G.f. of column k: Product_{j>=1} 1/(1+x^j)^(j*k).
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, ...
0, -1, -2, -3, -4, ...
0, -1, -1, 0, 2, ...
0, -2, -2, -1, 0, ...
0, 1, 7, 15, 23, ...
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CROSSREFS
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Columns k=0-5 give: A000007, A255528, A278710, A279031, A279411, A279932.
Main diagonal gives A281266.
Antidiagonal sums give A299212.
Cf. A255961, A277938.
Sequence in context: A156135 A047265 A185962 * A297325 A278528 A257261
Adjacent sequences: A279925 A279926 A279927 * A279929 A279930 A279931
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KEYWORD
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sign,tabl
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AUTHOR
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Seiichi Manyama, Apr 11 2017
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STATUS
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approved
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