A320596 Number of partitions of n with eight parts in which no part occurs more than twice.

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

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 A354788

Adjacent sequences: A320593 A320594 A320595 * A320597 A320598 A320599

Keyword

nonn,easy

Author

Alois P. Heinz, Oct 16 2018

Status

approved