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A137806 Euler transform of 1, 5, 9, 13, 17, 21, 25, 29, 33, ... (A016813). 1
1, 6, 15, 43, 105, 271, 633, 1501, 3389, 7598, 16561, 35710, 75444, 157618, 324291, 659949, 1326571, 2640033, 5199264, 10147142, 19624563, 37643761, 71629723, 135288468, 253682683, 472470635, 874204574, 1607506045, 2938259227, 5340032114, 9651674965 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..2000

FORMULA

a(n) ~ 2^(1/3) * Pi / (sqrt(3) * A^4 * n^(5/18) * Zeta(3)^(2/9)) * exp(1/3 - Pi^4/(192*Zeta(3)) - n^(1/3)*Pi^2/(4*Zeta(3)^(1/3)) + 3*n^(2/3)*Zeta(3)^(1/3)), where Zeta(3) = A002117 and A = A074962 is the Glaisher-Kinkelin constant. - Vaclav Kotesovec, Aug 07 2015

MATHEMATICA

Rest[CoefficientList[Series[Product[1/(1-x^k)^(4*k-3), {k, 1, 30}], {x, 0, 30}], x]] (* Vaclav Kotesovec, Aug 07 2015 *)

CROSSREFS

Sequence in context: A271809 A272289 A272320 * A193449 A197160 A182420

Adjacent sequences:  A137803 A137804 A137805 * A137807 A137808 A137809

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 08 2010, following a suggestion from Gary W. Adamson

STATUS

approved

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Last modified June 18 11:39 EDT 2021. Contains 345098 sequences. (Running on oeis4.)