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A320598
Number of partitions of n with ten parts in which no part occurs more than twice.
2
1, 1, 3, 5, 9, 14, 23, 32, 49, 69, 98, 133, 184, 242, 324, 421, 547, 698, 893, 1119, 1408, 1745, 2160, 2646, 3240, 3923, 4751, 5705, 6838, 8142, 9682, 11434, 13491, 15830, 18540, 21616, 25164, 29160, 33748, 38906, 44778, 51364, 58833, 67165, 76579, 87060
OFFSET
30,3
LINKS
FORMULA
G.f.: -(x^25 -x^23 -x^21 -x^20 -x^17 +x^16 +x^14 +2*x^13 +x^12 +x^11 +x^10 +x^7 -x^6 -x^5 -x^4 -x^3 -x^2 -1) *x^30 / ((x^2-x+1) *(x^4-x^3+x^2-x+1) *(x^6+x^3+1) *(x^4+1) *(x^6+x^5+x^4+x^3+x^2+x+1) *(x^2+1)^2 *(x^4+x^3+x^2+x+1)^2 *(x^2+x+1)^3 *(x+1)^5 *(x-1)^10).
CROSSREFS
Column k=10 of A209318.
Sequence in context: A032801 A332641 A033818 * A227567 A120452 A144116
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Oct 16 2018
STATUS
approved