A342254 Number of ways to write n as an ordered sum of ten powers of 2.

1, 10, 45, 130, 300, 612, 1095, 1750, 2655, 3850, 5281, 7110, 9460, 12060, 14940, 18352, 21850, 25380, 29790, 34740, 39672, 45480, 51885, 57870, 64375, 72090, 80145, 88630, 97660, 106380, 114736, 122260, 130050, 139740, 148990, 157572, 168240, 178200, 185490, 196200, 210082

Offset

10,2

Links

Table of n, a(n) for n=10..50.

Formula

G.f.: ( Sum_{k>=0} x^(2^k) )^10.

Mathematica

nmax = 50; CoefficientList[Series[Sum[x^(2^k), {k, 0, Floor[Log[2, nmax]] + 1}]^10, {x, 0, nmax}], x] // Drop[#, 10] &

Crossrefs

Cf. A000079, A023359, A073267, A151759, A151760, A151761, A151762, A209229, A319922, A342250, A342251, A342252.

Sequence in context: A045852 A226450 A105938 * A226254 A340966 A022605

Adjacent sequences: A342251 A342252 A342253 * A342255 A342256 A342257

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 07 2021

Status

approved