A355805 Number of compositions (ordered partitions) of n into Pell numbers (A000129).

1, 1, 2, 3, 5, 9, 15, 26, 44, 75, 128, 218, 373, 636, 1086, 1853, 3162, 5397, 9210, 15719, 26826, 45782, 78133, 133343, 227568, 388373, 662809, 1131168, 1930482, 3294616, 5622682, 9595828, 16376507, 27948604, 47697869, 81402513, 138923804, 237091241

Offset: 0

Author

Ilya Gutkovskiy, Oct 02 2022

Keywords

• nonn

Crossrefs

Cf. A000129, A076739, A290807, A290808.

Programs

Mathematica

nmax = 37; CoefficientList[Series[1/(1 - Sum[x^Fibonacci[k, 2], {k, 1, 20}]), {x, 0, nmax}], x]

Formula

G.f.: 1 / (1 - Sum_{k>=1} x^A000129(k)).