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A025887 Expansion of 1/((1-x^5)*(1-x^8)*(1-x^9)). 4
1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,19
COMMENTS
a(n) is the number of partitions of n into parts 5, 8, and 9. - Joerg Arndt, Nov 20 2022
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,0,0,1,1,0,0,0,-1,-1,0,0,-1,0,0,0,0,1).
FORMULA
a(n) = a(n-5) + a(n-8) + a(n-9) - a(n-13) - a(n-14) - a(n-17) + a(n-22). - G. C. Greubel, Nov 19 2022
MATHEMATICA
CoefficientList[Series[1/((1-x^5)(1-x^8)(1-x^9)), {x, 0, 80}], x] (* G. C. Greubel, Nov 19 2022 *)
PROG
(Magma) R<x>:=PowerSeriesRing(Rationals(), 80); Coefficients(R!( 1/((1-x^5)*(1-x^8)*(1-x^9)) )); // G. C. Greubel, Nov 19 2022
(SageMath)
def A025887_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( 1/((1-x^5)*(1-x^8)*(1-x^9)) ).list()
A025887_list(80) # G. C. Greubel, Nov 19 2022
CROSSREFS
Sequence in context: A112189 A112191 A328523 * A025882 A025876 A109035
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)