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A320595 Number of partitions of n with seven parts in which no part occurs more than twice. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 14 02:19 EST 2019. Contains 329108 sequences. (Running on oeis4.)