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 A029066 Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^9)). 0
 1, 1, 1, 1, 2, 3, 3, 3, 4, 6, 7, 7, 8, 10, 12, 13, 14, 16, 19, 21, 23, 25, 28, 31, 34, 37, 40, 44, 48, 52, 56, 60, 65, 70, 75, 80, 86, 92, 98, 104, 111, 118, 125, 132, 140, 149, 157, 165, 174, 184, 194, 203, 213, 224, 236 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Number of partitions of n into parts 1, 4, 5 and 9. - Ilya Gutkovskiy, May 17 2017 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,0,-1,0,0,0,0,0,0,-1,0,1, 0,0,1,-1). MATHEMATICA CoefficientList[Series[1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^9)), {x, 0, 50}], x] (* G. C. Greubel, May 17 2017 *) LinearRecurrence[{1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 3, 3, 3, 4, 6, 7, 7, 8, 10, 12, 13, 14, 16, 19}, 60] (* Harvey P. Dale, Apr 21 2019 *) PROG (PARI) x='x+O('x^50); Vec(1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^9))) \\ G. C. Greubel, May 17 2017 CROSSREFS Sequence in context: A029067 A048460 A036017 * A174522 A327719 A327716 Adjacent sequences:  A029063 A029064 A029065 * A029067 A029068 A029069 KEYWORD nonn AUTHOR STATUS approved

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Last modified July 27 10:44 EDT 2021. Contains 346304 sequences. (Running on oeis4.)