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A320594
Number of partitions of n with six parts in which no part occurs more than twice.
2
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
OFFSET
12,3
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Oct 16 2018
STATUS
approved