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A038064 prod{k=1..inf}(1/(1-x^k)^a(k)) = 1+3x. 2
3, -6, 8, -18, 48, -124, 312, -810, 2184, -5928, 16104, -44220, 122640, -341796, 956576, -2690010, 7596480, -21524412, 61171656, -174336264, 498111952, -1426419852, 4093181688, -11767874940, 33891544368, -97764131640 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

N. J. A. Sloane, Euler transform

FORMULA

G.f.: Sum_{n>=1} moebius(n)*log(1 + 3*x^n)/n, where moebius(n)=A008683(n). [From Paul D. Hanna (pauldhanna(AT)juno.com), Oct 13 2010]

PROG

(PARI) {a(n)=polcoeff(sum(k=1, n, moebius(k)/k*log(1+3*x^k+x*O(x^n))), n)} [From Paul D. Hanna (pauldhanna(AT)juno.com), Oct 13 2010]

CROSSREFS

Cf. A038063-A038070.

Sequence in context: A179652 A068979 A101060 * A093899 A137129 A098106

Adjacent sequences:  A038061 A038062 A038063 * A038065 A038066 A038067

KEYWORD

sign

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Jan 04 1999.

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Last modified February 14 17:58 EST 2012. Contains 205656 sequences.