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

Author

Ilya Gutkovskiy, Aug 11 2017

Keywords

• nonn

Examples

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

Links

• Eric Weisstein's World of Mathematics, Pell Number
• Index entries for sequences related to partitions

Crossrefs

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

Programs

Mathematica

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

Formula

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