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

0,3

Links

Table of n, a(n) for n=0..37.

Formula

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

Mathematica

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

Crossrefs

Cf. A000129, A076739, A290807, A290808.

Sequence in context: A034073 A114623 A079971 * A073031 A114138 A114140

Adjacent sequences: A355802 A355803 A355804 * A355806 A355807 A355808

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 02 2022

Status

approved