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A355805
Number of compositions (ordered partitions) of n into Pell numbers (A000129).
0
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
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
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Oct 02 2022
STATUS
approved