A320594 - OEIS

A320594

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

1, 1, 3, 5, 8, 11, 18, 23, 33, 44, 58, 73, 96, 117, 148, 181, 221, 264, 321, 377, 449, 526, 616, 712, 830, 949, 1093, 1246, 1420, 1605, 1822, 2044, 2302, 2575, 2880, 3202, 3569, 3947, 4375, 4826, 5322, 5844, 6427, 7029, 7698, 8400, 9164, 9965, 10846, 11757

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OFFSET

12,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 12..10000

Index entries for linear recurrences with constant coefficients, signature (1, 1, 0, 0, -1, 0, -2, 0, 1, 1, 1, 1, 0, -2, 0, -1, 0, 0, 1, 1, -1).

FORMULA

G.f.: (x^9-x^8-x^7-x^5+x^3+x^2+1)*x^12 / ((x^2-x+1) *(x^4+x^3+x^2+x+1) *(x^2+1) *(x^2+x+1)^2 *(x+1)^3 *(x-1)^6).

MATHEMATICA

LinearRecurrence[{1, 1, 0, 0, -1, 0, -2, 0, 1, 1, 1, 1, 0, -2, 0, -1, 0, 0, 1, 1, -1}, {1, 1, 3, 5, 8, 11, 18, 23, 33, 44, 58, 73, 96, 117, 148, 181, 221, 264, 321, 377, 449}, 50] (* Harvey P. Dale, Dec 19 2022 *)

CROSSREFS

Column k=6 of A209318.

Sequence in context: A194803 A284835 A308266 * A227563 A180619 A196204

Adjacent sequences: A320591 A320592 A320593 * A320595 A320596 A320597

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Oct 16 2018

STATUS

approved