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A265951 Expansion of Product_{k>=1} 1/(1 - 2*k*x^k). 8
1, 2, 8, 22, 68, 170, 484, 1166, 3048, 7274, 18000, 41806, 100684, 229258, 535692, 1206230, 2758944, 6123650, 13798088, 30284894, 67272756, 146426002, 321513284, 693944814, 1510245960, 3236648578, 6985572672, 14885926182, 31904642348, 67618415690 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..3280

FORMULA

a(n) ~ c * n * 2^n, where c = 1/2 * Product_{m>=3} 1/(1 - m/2^(m-1)) = 9.281573281805057363737677116134642024212942973614535341005126953773818...

MATHEMATICA

nmax=40; CoefficientList[Series[Product[1/(1-2*k*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A006906, A265974, A265975, A265976.

Cf. A032309, A070933, A265955.

Sequence in context: A017928 A102880 A137104 * A178159 A262720 A321573

Adjacent sequences:  A265948 A265949 A265950 * A265952 A265953 A265954

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 19 2015

STATUS

approved

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Last modified May 23 03:02 EDT 2019. Contains 323507 sequences. (Running on oeis4.)