A300582 Expansion of Product_{k>=1} 1 / (1 - 3*2^k*x^k).

1, 6, 48, 312, 2064, 12768, 79680, 484224, 2947584, 17783808, 107268096, 644960256, 3877367808, 23282294784, 139790696448, 838984925184, 5035133042688, 30213857476608, 181298502303744, 1087829443608576, 6527166069080064, 39163476131708928, 234983177934864384

Offset

0,2

Links

Table of n, a(n) for n=0..22.

Formula

a(n) ~ c * 6^n, where c = 1/QPochhammer(1/3) = 1.7853123419985341903674862960137...

Mathematica

nmax = 25; CoefficientList[Series[Product[1/(1-3*2^k*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

Crossrefs

Cf. A070933, A300583.

Sequence in context: A073994 A165758 A166152 * A366658 A049316 A320072

Adjacent sequences: A300579 A300580 A300581 * A300583 A300584 A300585

Keyword

nonn

Author

Vaclav Kotesovec, Mar 09 2018

Status

approved