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A029091
Expansion of 1/((1-x)*(1-x^5)*(1-x^7)*(1-x^8)).
1
1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 18, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 45, 48, 51, 55, 59, 63, 67, 71, 76, 80, 85, 90, 95, 101, 106, 112, 118, 124, 131, 137, 144, 151, 158, 166
OFFSET
0,6
COMMENTS
Number of partitions of n into parts 1, 5, 7 and 8. - Ilya Gutkovskiy, May 20 2017
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1,1,0,-1,0,0,-1,0,1,-1,1,0,0,0,1,-1).
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - x^5) (1 - x^7) (1 - x^8)), {x, 0, 100}], x] (* Vincenzo Librandi, May 30 2017 *)
PROG
(PARI) Vec(1/((1-x)*(1-x^5)*(1-x^7)*(1-x^8)) + O(x^60)) \\ Michel Marcus, May 30 2017
CROSSREFS
Sequence in context: A249036 A096607 A103416 * A175858 A272613 A245433
KEYWORD
nonn,easy
AUTHOR
STATUS
approved