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A029859 Euler transform of 3 2 1 1 1 1 1 1... 2
1, 3, 8, 17, 34, 62, 109, 182, 296, 466, 719, 1084, 1609, 2347, 3380, 4802, 6750, 9384, 12929, 17650, 23909, 32136, 42903, 56893, 74998, 98284, 128121, 166149, 214446, 275499, 352425, 448949, 569695, 720182, 907201, 1138844, 1424996, 1777409, 2210346, 2740729 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..39.

N. J. A. Sloane, Transforms

FORMULA

a(n) ~ exp(Pi*sqrt(2*n/3)) * 3*sqrt(n) / (2*sqrt(2)*Pi^3). - Vaclav Kotesovec, May 31 2019

MATHEMATICA

nmax = 50; CoefficientList[Series[1/((1-x)^2*(1-x^2))*Product[1/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, May 31 2019 *)

CROSSREFS

First differences are in A000097.

Cf. A029860, A029861.

Sequence in context: A281166 A165273 A002626 * A305105 A163312 A131253

Adjacent sequences:  A029856 A029857 A029858 * A029860 A029861 A029862

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(0) = 1 prepended by Vaclav Kotesovec, May 31 2019

More terms from Vaclav Kotesovec, May 31 2019

STATUS

approved

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Last modified October 15 00:12 EDT 2019. Contains 328025 sequences. (Running on oeis4.)