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A320596 Number of partitions of n with eight parts in which no part occurs more than twice. 2
1, 1, 3, 5, 9, 13, 21, 29, 43, 59, 82, 108, 146, 187, 244, 309, 393, 488, 610, 746, 917, 1109, 1343, 1606, 1924, 2277, 2698, 3168, 3719, 4331, 5045, 5833, 6744, 7750, 8900, 10167, 11609, 13189, 14976, 16934, 19132, 21533, 24219, 27143, 30399, 33939, 37859 (list; graph; refs; listen; history; text; internal format)
OFFSET

20,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 20..10000

FORMULA

G.f.: (x^15-x^11-x^10-x^8-x^7+x^4+x^3+x^2+1)*x^20 / ((x^2-x+1) *(x^4+x^3+x^2+x+1) *(x^4+1) *(x^6+x^5+x^4+x^3+x^2+x+1) *(x^2+1)^2 *(x^2+x+1)^2 *(x+1)^4 *(x-1)^8).

CROSSREFS

Column k=8 of A209318.

Sequence in context: A058989 A049691 A206297 * A227565 A136252 A187212

Adjacent sequences:  A320593 A320594 A320595 * A320597 A320598 A320599

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Oct 16 2018

STATUS

approved

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Last modified March 2 19:18 EST 2021. Contains 341756 sequences. (Running on oeis4.)