A290807 Number of partitions of n into Pell parts (A000129).

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

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