A266137 Expansion of Product_{k>=1} 1/(1 - k*(x^(2*k-1))).

1, 1, 1, 3, 3, 6, 10, 14, 20, 33, 50, 68, 106, 147, 214, 325, 445, 624, 916, 1259, 1780, 2553, 3477, 4821, 6794, 9340, 12777, 17808, 24266, 32998, 45764, 61770, 83593, 114594, 154039, 208617, 283232, 379040, 509270, 687448, 919709, 1228319, 1650595, 2195745

Offset

0,4

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..9850

Formula

a(n) ~ c * 2^(n/3), where

c = 2684.3207660224428945778151546260301591494083790... if mod(n,3) = 0

c = 2683.9203893332021512699407898064547843826991184... if mod(n,3) = 1

c = 2683.7635451650373491773203224442103370428384569... if mod(n,3) = 2.

Mathematica

nmax=60; CoefficientList[Series[Product[1/(1-k*(x^(2*k-1))), {k, 1, nmax}], {x, 0, nmax}], x]

Crossrefs

Cf. A000009, A006906, A077335, A265951, A266138.

Sequence in context: A212991 A226642 A374689 * A265506 A366317 A300301

Adjacent sequences: A266134 A266135 A266136 * A266138 A266139 A266140

Keyword

nonn

Author

Vaclav Kotesovec, Dec 21 2015

Status

approved