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A029149 Expansion of 1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^12)). 1
1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 6, 5, 7, 8, 8, 10, 11, 11, 14, 14, 16, 17, 20, 20, 23, 25, 26, 29, 32, 32, 37, 38, 41, 44, 48, 49, 54, 57, 60, 64, 69, 70, 77, 80, 84, 89, 95, 97, 105, 109, 114, 120, 127, 130, 139, 144, 150, 157, 166, 169, 180, 186 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

a(n) is the number of partitions of n into parts 2, 3, 5, and 12. [Joerg Arndt, Jan 10 2018]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,0,0,-1,-1,0,1,0,1,0,-1,-1,0,0,0,1,1,0,-1).

MATHEMATICA

CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^5)(1-x^12)), {x, 0, 60}], x] (* or *) LinearRecurrence[{0, 1, 1, 0, 0, 0, -1, -1, 0, 1, 0, 1, 0, -1, -1, 0, 0, 0, 1, 1, 0, -1}, {1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 6, 5, 7, 8, 8, 10, 11, 11, 14, 14}, 60] (* Harvey P. Dale, Jan 08 2018 *)

PROG

(MAGMA) m:=100; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^12)))); // Vincenzo Librandi, Jan 10 2018

(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^12)) + O(x^70)) \\ Jinyuan Wang, Feb 28 2020

CROSSREFS

Sequence in context: A120179 A032739 A240868 * A080570 A163001 A239913

Adjacent sequences:  A029146 A029147 A029148 * A029150 A029151 A029152

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 5 11:27 EST 2021. Contains 341823 sequences. (Running on oeis4.)