login
A320844
Expansion of Product_{k>0} (1-x^p(k)), where p(k) is the number of partitions of k (A000041).
1
1, -1, -1, 0, 1, 0, 0, 0, 1, 0, -1, -1, 1, 1, -1, -2, 2, 2, -1, -2, 0, 1, -1, 0, 1, 2, 0, -2, -2, 2, -1, 0, 1, 2, -1, -1, 0, 2, -3, -2, 1, 3, -1, 0, 1, 3, -3, -4, 0, 4, 1, -3, 1, 2, -1, -4, -1, 5, 2, -4, 0, 3, 1, -3, -1, 0, 1, -3, 1, 3, 3, -2, -2, -2, 1, -1, 1, 1, 3, -3
OFFSET
0,16
LINKS
MATHEMATICA
CoefficientList[Series[Product[1 - x^PartitionsP[k], {k, 1, 120}], {x, 0, 100}], x] (* G. C. Greubel, Oct 27 2018 *)
PROG
(PARI) x='x+O('x^50); Vec(prod(k=1, 50, 1-x^numbpart(k))) \\ G. C. Greubel, Oct 27 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (&*[1-x^NumberOfPartitions(k): k in [1..100]]))); // G. C. Greubel, Oct 27 2018
CROSSREFS
Convolution inverse of A007279.
Sequence in context: A210673 A129320 A359556 * A212119 A096831 A191516
KEYWORD
sign,look
AUTHOR
Seiichi Manyama, Oct 22 2018
STATUS
approved