A029217 - OEIS

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A029217

Expansion of 1/((1-x^2)*(1-x^6)*(1-x^7)*(1-x^11)).

1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 3, 3, 4, 3, 4, 4, 6, 5, 7, 6, 8, 7, 10, 9, 11, 10, 13, 12, 15, 14, 17, 16, 19, 19, 22, 21, 24, 24, 27, 27, 31, 30, 34, 33, 38, 37, 42, 41, 46, 45, 50, 50, 55, 55, 60, 60, 65, 65, 71, 71, 77

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,7

COMMENTS

Number of partitions of n into parts 2, 6, 7, and 11. - Joerg Arndt, Jun 02 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,1,0,0,0,1,1,-1,-1,0,1,0,-2,0,1,0,-1,-1,1,1,0,0,0,1,0,-1).

MATHEMATICA

CoefficientList[Series[1/((1 - x^2) (1 - x^6) (1 - x^7) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)

LinearRecurrence[{0, 1, 0, 0, 0, 1, 1, -1, -1, 0, 1, 0, -2, 0, 1, 0, -1, -1, 1, 1, 0, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 3, 3, 4, 3, 4, 4, 6, 5, 7, 6, 8, 7, 10, 9}, 70] (* Harvey P. Dale, Dec 05 2022 *)

PROG

(PARI) Vec(1/((1-x^2)*(1-x^6)*(1-x^7)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

CROSSREFS

Sequence in context: A033101 A220413 A371128 * A161230 A161054 A161258

Adjacent sequences: A029214 A029215 A029216 * A029218 A029219 A029220

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved