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

Author

Ilya Gutkovskiy, Mar 07 2021

Keywords

• nonn

Crossrefs

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

Programs

Mathematica

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

Formula

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