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A304961 Expansion of Product_{k>=1} (1 + 2^(k-1)*x^k). 0
1, 1, 2, 6, 12, 32, 72, 176, 384, 960, 2112, 4992, 11264, 26112, 58368, 136192, 301056, 688128, 1548288, 3489792, 7766016, 17596416, 38993920, 87293952, 194248704, 432537600, 957349888, 2132803584, 4699717632, 10406068224, 23001563136, 50683969536, 111434268672, 245819768832 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..33.

Index entries for sequences related to partitions

Index entries for sequences related to compositions

FORMULA

G.f.: Product_{k>=1} (1 + A011782(k)*x^k).

MATHEMATICA

nmax = 33; CoefficientList[Series[Product[(1 + 2^(k - 1) x^k), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A000009, A011782, A022629, A075900, A098407, A102866, A271619, A279785.

Sequence in context: A080372 A163087 A000650 * A032178 A102881 A217447

Adjacent sequences:  A304958 A304959 A304960 * A304962 A304963 A304964

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, May 22 2018

STATUS

approved

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Last modified August 24 03:20 EDT 2019. Contains 326260 sequences. (Running on oeis4.)