A320595 Number of partitions of n with seven parts in which no part occurs more than twice.

1, 2, 3, 6, 9, 14, 21, 30, 41, 57, 75, 99, 129, 165, 207, 261, 322, 396, 483, 585, 701, 840, 995, 1176, 1382, 1617, 1880, 2183, 2518, 2898, 3322, 3797, 4321, 4911, 5556, 6275, 7066, 7939, 8892, 9947, 11092, 12350, 13719, 15214, 16832, 18601, 20507, 22580

Offset

16,2

Links

Alois P. Heinz, Table of n, a(n) for n = 16..10000

Formula

G.f.: -(x^12-x^10-x^8-x^7+x^3+x+1)*x^16 / ((x^2-x+1) *(x^4+x^3+x^2+x+1) *(x^6+x^5+x^4+x^3+x^2+x+1) *(x^2+1) *(x^2+x+1)^2 *(x+1)^3 *(x-1)^7).

Crossrefs

Column k=7 of A209318.

Sequence in context: A094055 A094056 A194627 * A227564 A173303 A308251

Adjacent sequences: A320592 A320593 A320594 * A320596 A320597 A320598

Keyword

nonn,easy

Author

Alois P. Heinz, Oct 16 2018

Status

approved