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A029139 Expansion of 1/((1-x^2)(1-x^3)(1-x^4)(1-x^9)). 1
1, 0, 1, 1, 2, 1, 3, 2, 4, 4, 5, 5, 8, 7, 9, 10, 12, 12, 16, 15, 19, 20, 23, 23, 29, 28, 33, 35, 39, 40, 47, 47, 53, 56, 61, 63, 72, 72, 80, 84, 91, 93, 104, 105, 115, 120, 128, 132, 145, 147, 158, 165, 175, 180, 195, 198, 212, 220, 232, 238, 256, 260, 276, 286, 300, 308 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Number of partitions of n into parts 2, 3, 4, and 9. [Joerg Arndt, Aug 14 2013]

LINKS

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

FORMULA

a(n) = floor((2*n^3+54*n^2+431*n+2247+81*(n+9)*(-1)^n+192*cos(2*Pi*n/3)*(floor(n/3)+1))/2592). - Tani Akinari, Aug 13 2013

PROG

(PARI) Vec( 1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^9)) + O(x^66) ) \\ Joerg Arndt, Aug 14 2013

(PARI) a(n)=round((2*n^3+54*n^2+399*n+899)/2592+(n%3==0)*n/27+(n+9)*(-1)^n/32) \\ Tani Akinari, Jun 03 2014

CROSSREFS

Sequence in context: A144693 A328399 A328171 * A100927 A001687 A159072

Adjacent sequences:  A029136 A029137 A029138 * A029140 A029141 A029142

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 24 01:16 EST 2020. Contains 332195 sequences. (Running on oeis4.)