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A110153 G.f.: A(x) = Product_{n>=1} 1/(1 - 3^n*x^n)^(3/3^n). 4
1, 3, 12, 39, 138, 426, 1461, 4458, 14655, 45309, 145479, 443037, 1427196, 4329696, 13655325, 41795679, 131102229, 397649811, 1247247507, 3775785681, 11761535064, 35770717695, 110693177805, 335003030301, 1040296817955 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

EXAMPLE

A(x) = 1 + 3*x + 12*x^2 + 39*x^3 + 138*x^4 + 426*x^5 +... =

1/[(1-3*x)*(1-9*x^2)^(1/3)*(1-27*x^3)^(1/9)*(1-81*x^4)^(1/27)*...]

PROG

(PARI) a(n)=polcoeff(prod(k=1, n, 1/(1-3^k*x^k+x*O(x^n))^(3/3^k)), n)

CROSSREFS

Cf. A110152, A110154, A110155, A110156.

Sequence in context: A242587 A330169 A290906 * A343360 A183366 A122994

Adjacent sequences:  A110150 A110151 A110152 * A110154 A110155 A110156

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 14 2005

STATUS

approved

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Last modified October 6 02:32 EDT 2022. Contains 357261 sequences. (Running on oeis4.)