A029081 - OEIS

A029081

Expansion of g.f. 1/((1-x)*(1-x^4)*(1-x^9)*(1-x^11)).

1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 20, 21, 23, 25, 27, 29, 31, 34, 36, 39, 41, 44, 47, 50, 53, 56, 60, 63, 67, 70, 75, 79, 83, 87, 92, 97, 101, 106, 111, 117, 122, 128, 134, 140, 146, 152, 159, 165, 172, 179, 187

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OFFSET

0,5

COMMENTS

Number of partitions of n into parts 1, 4, 9 and 11. - Ilya Gutkovskiy, May 19 2017

LINKS

Table of n, a(n) for n=0..64.

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

FORMULA

a(n) = floor((2*n^3 + 75*n^2 + 828*n + 4999)/4752 + (1/3)*([(n mod 9)=4] - [(n mod 9)=7])). - Hoang Xuan Thanh, Jul 07 2025

CROSSREFS

Sequence in context: A029102 A241086 A194818 * A168656 A005862 A293254

Adjacent sequences: A029078 A029079 A029080 * A029082 A029083 A029084

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved