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A025832 Expansion of 1/((1-x^3)(1-x^4)(1-x^10)). 0
1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 4, 5, 5, 6, 5, 7, 6, 7, 7, 8, 7, 9, 8, 9, 9, 11, 9, 11, 11, 12, 11, 13, 12, 14, 13, 15, 14, 16, 15, 17, 16, 18, 17, 19, 18, 21, 19, 21, 21, 23, 21, 24, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

COMMENTS

Number of partitions of n into parts 3, 4, and 10. [Joerg Arndt, Aug 28 2013]

Conjecture: satisfies a linear recurrence having signature (0, 0, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1). - Harvey P. Dale, May 03 2021

LINKS

Table of n, a(n) for n=0..67.

FORMULA

a(n) = +a(n-3) +a(n-4) -a(n-7) +a(n-10) -a(n-13) -a(n-14) +a(n-17). - R. J. Mathar, Jun 04 2013

MATHEMATICA

CoefficientList[Series[1/((1-x^3)(1-x^4)(1-x^10)), {x, 0, 70}], x] (* Harvey P. Dale, May 03 2021 *)

PROG

(PARI) a(n)=floor((n%3<2)/3+(-1)^(n\5)/10+(2*n^2+34*n+221)/480+(2*n+17)*(-1)^n/160); \\ Tani Akinari, Aug 28 2013

CROSSREFS

Sequence in context: A298783 A053280 A289122 * A320385 A112222 A112220

Adjacent sequences:  A025829 A025830 A025831 * A025833 A025834 A025835

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 15 13:40 EDT 2021. Contains 343920 sequences. (Running on oeis4.)