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A327852 Expansion of Product_{k>=1} B(x^k), where B(x) is the g.f. of A092869. 2
1, -1, -1, 1, -1, 1, 1, -3, 1, 2, 0, 2, -2, -2, -1, 3, 1, -5, 2, 0, 0, 8, -4, -7, 5, -2, 0, 1, -8, 0, 12, 2, -3, -1, -7, 9, 4, -7, -7, -6, 10, 9, 2, -6, -14, 15, 3, -15, 19, -30, 6, 37, -31, 10, 9, -23, 20, 4, -29, 4, 14, 4, -13, 23, -14, -19, 39, -29, -23, 35, 0, -34, 48 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,8
LINKS
FORMULA
G.f.: Product_{i>=1} Product_{j>=1} (1-x^(i*(8*j-1))) * (1-x^(i*(8*j-7))) / ((1-x^(i*(8*j-3))) * (1-x^(i*(8*j-5)))).
G.f.: Product_{k>=1} (1-x^k)^A035185(k).
PROG
(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-x^k)^sumdiv(k, d, kronecker(2, d))))
CROSSREFS
Product_{k>=1} (1 - x^k)^(Sum_{d|k} (b/d)), where (m/n) is the Kronecker symbol: this sequence (b=2), A288007 (b=4), A327688 (b=5).
Sequence in context: A211358 A211356 A176107 * A190561 A359793 A074735
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 28 2019
STATUS
approved

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Last modified March 29 08:51 EDT 2024. Contains 371268 sequences. (Running on oeis4.)