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A029077 Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^12)). 1
1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 7, 7, 8, 9, 11, 11, 12, 14, 16, 17, 18, 20, 23, 24, 26, 28, 32, 33, 35, 38, 42, 44, 46, 50, 55, 57, 60, 64, 70, 72, 76, 81, 87, 90, 94, 100, 107, 111, 116, 122, 130, 134, 140, 147, 156, 161, 167, 175, 185, 191, 198, 207, 218 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Number of partitions of n into parts 1, 4, 7 and 12. - Ilya Gutkovskiy, May 18 2017

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^4)(1-x^7)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, -1, 0, 1, -1, 0, 0, -1, 2, -1, 0, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 7, 7, 8, 9, 11, 11, 12, 14, 16, 17, 18, 20}, 80] (* Harvey P. Dale, Jun 08 2019 *)

CROSSREFS

Sequence in context: A308303 A285763 A294621 * A112176 A112205 A117953

Adjacent sequences:  A029074 A029075 A029076 * A029078 A029079 A029080

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 14 01:29 EDT 2021. Contains 345016 sequences. (Running on oeis4.)