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A038067
Product_{k>=1} (1 + x^k)^a(k) = 1 + 2x.
7
2, -1, 2, -4, 6, -9, 18, -34, 56, -99, 186, -344, 630, -1161, 2182, -4114, 7710, -14532, 27594, -52476, 99858, -190557, 364722, -699214, 1342176, -2580795, 4971008, -9587556, 18512790, -35790267, 69273666, -134219794, 260300986
OFFSET
1,1
LINKS
Laura Pierson, A power sum expansion for the Kromatic symmetric function, arXiv:2408.01395 [math.CO], 2024. See p. 5.
N. J. A. Sloane, Weigh transform
FORMULA
Dirichlet convolution of A038063 with characteristic function of powers of 2.
a(n) = 1/n*(-(-2)^n + Sum_{d<n and d divides n} (-1)^(n/d)*d*a(d)). - Vladeta Jovovic, Sep 06 2002
CROSSREFS
KEYWORD
sign
AUTHOR
Christian G. Bower, Jan 04 1999
STATUS
approved