

A029056


Expansion of 1/((1x)*(1x^3)*(1x^8)*(1x^11)).


1



1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 7, 8, 8, 10, 11, 12, 14, 15, 17, 19, 20, 23, 25, 27, 30, 32, 35, 38, 40, 44, 47, 50, 55, 58, 62, 67, 70, 75, 80, 84, 90, 95, 100, 107, 112, 118, 125, 131, 138, 145, 152, 160, 167, 175
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OFFSET

0,4


COMMENTS

Number of partitions of n into parts 1, 3, 8 and 11.  Ilya Gutkovskiy, May 16 2017


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1).


MATHEMATICA

CoefficientList[Series[1/((1  x)*(1  x^3)*(1  x^8)*(1  x^11)), {x, 0, 50}], x] (* G. C. Greubel, May 17 2017 *)


PROG

(PARI) a(n)=floor((2*n^3+69*n^2+696*n+3312)/3168+[5, 1, 1, 4, 1, 0, 1, 4, 1, 1, 5][n%11+1]/11) \\ Tani Akinari, May 13 2014
(PARI) Vec(1/((1x)*(1x^3)*(1x^8)*(1x^11)) + O(x^100)) \\ Michel Marcus, May 13 2014


CROSSREFS

Sequence in context: A174575 A029057 A087897 * A226503 A036847 A282379
Adjacent sequences: A029053 A029054 A029055 * A029057 A029058 A029059


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane, Dec 11 1999


STATUS

approved



