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A301978 Euler transform of A065958. 4
1, 1, 6, 16, 51, 127, 367, 897, 2342, 5662, 13894, 32656, 77076, 176586, 403526, 904140, 2013267, 4418167, 9628682, 20741434, 44362988, 93984842, 197731390, 412619250, 855408327, 1760687593, 3601827236, 7321181534, 14796204874, 29730215150, 59419375058 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: Product_{k>=1} 1/(1-x^k)^A065958(k).

a(n) ~ exp(4*(7*Zeta(3))^(1/4) * n^(3/4) / sqrt(3*Pi) - sqrt(Pi) * n^(1/4) / (4*3^(3/2) * (7*Zeta(3))^(1/4)) - Zeta(3) / (4*Pi^2)) * 3^(1/4) * (7*Zeta(3))^(1/8) / (2^(3/2) * Pi^(3/4) * n^(5/8)).

MATHEMATICA

nmax = 40; CoefficientList[Series[Exp[Sum[Sum[Sum[MoebiusMu[k/d]^2*d^2, {d, Divisors@k}] * x^(j*k) / j, {k, 1, Floor[nmax/j] + 1}], {j, 1, nmax}]], {x, 0, nmax}], x] (* Vaclav Kotesovec, Mar 31 2018 *)

CROSSREFS

Cf. A065958, A156733, A301980.

Sequence in context: A296855 A105465 A288572 * A275585 A026086 A175659

Adjacent sequences:  A301975 A301976 A301977 * A301979 A301980 A301981

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Mar 30 2018

STATUS

approved

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Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)