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A290807 Number of partitions of n into Pell parts (A000129). 1
1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 10, 11, 14, 15, 18, 20, 23, 26, 29, 32, 36, 39, 44, 47, 53, 57, 63, 68, 74, 81, 88, 95, 103, 110, 120, 128, 139, 148, 159, 170, 182, 195, 208, 221, 236, 250, 267, 282, 300, 317, 336, 355, 375, 396, 418, 440, 464, 487, 514, 539, 568, 595, 625, 655, 687, 720, 754, 788 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..67.

Eric Weisstein's World of Mathematics, Pell Number

Index entries for sequences related to partitions

FORMULA

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

EXAMPLE

a(5) = 4 because we have [5], [2, 2, 1], [2, 1, 1, 1] and [1, 1, 1, 1, 1].

MATHEMATICA

CoefficientList[Series[Product[1/(1 - x^Fibonacci[k, 2]), {k, 1, 15}], {x, 0, 67}], x]

CROSSREFS

Cf. A000129, A007000, A003107, A067592, A067593, A290808.

Sequence in context: A089197 A017874 A029016 * A121385 A029015 A000008

Adjacent sequences:  A290804 A290805 A290806 * A290808 A290809 A290810

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Aug 11 2017

STATUS

approved

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Last modified October 17 08:36 EDT 2019. Contains 328107 sequences. (Running on oeis4.)