A320598 Number of partitions of n with ten parts in which no part occurs more than twice.

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

Author

Alois P. Heinz, Oct 16 2018

Keywords

• nonn
• easy

Links

• Alois P. Heinz, Table of n, a(n) for n = 30..10000

Crossrefs

Column k=10 of A209318.

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).