A304909 - OEIS

A304909

Expansion of x * (d/dx) Product_{k>=0} 1/(1 - x^(2^k)).

0, 1, 4, 6, 16, 20, 36, 42, 80, 90, 140, 154, 240, 260, 364, 390, 576, 612, 828, 874, 1200, 1260, 1628, 1702, 2256, 2350, 2964, 3078, 3920, 4060, 4980, 5146, 6464, 6666, 8092, 8330, 10224, 10508, 12540, 12870, 15600, 15990, 18900, 19350, 23056, 23580, 27508, 28106, 33216, 33908

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OFFSET

0,3

COMMENTS

Sum of all parts of all partitions of n into powers of 2.

Convolution of the sequences A018819 and A038712.

LINKS

Table of n, a(n) for n=0..49.

Index entries for sequences related to partitions

FORMULA

G.f.: x * (d/dx) Product_{k>=0} (1 + x^(2^k))^(k+1).

G.f.: Sum_{i>=0} 2^i*x^(2^i)/(1 - x^(2^i)) * Product_{j>=0} 1/(1 - x^(2^j)).