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A293467 a(n) = Sum_{k=0..n} (-1)^k * binomial(n, k) * q(k), where q(k) is A000009 (partitions into distinct parts). 11
1, 0, 0, -1, -3, -7, -14, -25, -41, -64, -100, -165, -294, -550, -1023, -1795, -2823, -3658, -2882, 2873, 20435, 62185, 148863, 314008, 613957, 1155794, 2175823, 4244026, 8753538, 19006490, 42471787, 95234575, 210395407, 453413866, 949508390, 1931939460 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
MATHEMATICA
Table[Sum[(-1)^k * Binomial[n, k] * PartitionsQ[k], {k, 0, n}], {n, 0, 50}]
CROSSREFS
Sequence in context: A004006 A089240 A057524 * A011795 A051170 A265252
KEYWORD
sign
AUTHOR
Vaclav Kotesovec, Oct 09 2017
STATUS
approved

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Last modified March 19 07:25 EDT 2024. Contains 370955 sequences. (Running on oeis4.)