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URL: https://oeis.org/A029200

⇱ A029200 - OEIS

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A029200
Expansion of 1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^9)).
1
1, 0, 1, 0, 1, 1, 1, 2, 1, 3, 2, 3, 3, 3, 5, 4, 6, 5, 7, 7, 8, 9, 9, 11, 11, 13, 13, 15, 16, 17, 19, 19, 22, 22, 25, 26, 28, 30, 31, 34, 35, 38, 40, 42, 45, 47, 50, 52, 55, 58, 61, 64, 67, 70, 74, 77, 81, 84, 88, 92, 96, 100, 104, 109, 113, 118, 122, 127, 132
OFFSET
0,8
COMMENTS
Number of partitions of n into parts 2, 5, 7, and 9. - Joerg Arndt, Jun 02 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,1,0,0,1,0,0,0,0,0,-1,-1,0,0,0,0,0,1,0,0,1,0,-1).
FORMULA
a(n) = floor((358*n^3+255*n^2+150*n+216)/216) - floor((4*n^3+3*n^2+3*n+1)/5) - floor((6*n^3+4*n^2+5)/7). - Hoang Xuan Thanh, Oct 14 2025
MATHEMATICA
CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^7) (1 - x^9)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)
PROG
(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020
CROSSREFS
Sequence in context: A369793 A253281 A029206 * A317243 A051274 A267806
KEYWORD
nonn,easy
STATUS
approved