A327842 Number of colored integer partitions of n using all colors of a 3-set such that a color pattern for part i has i distinct colors in increasing order.

5, 18, 45, 94, 174, 300, 486, 756, 1131, 1647, 2334, 3243, 4416, 5922, 7818, 10195, 13128, 16734, 21110, 26403, 32736, 40291, 49221, 59748, 72060, 86424, 103068, 122310, 144423, 169782, 198711, 231648, 268974, 311197, 358761, 412251, 472181, 539220, 613959

Offset

3,1

Links

Alois P. Heinz, Table of n, a(n) for n = 3..10000

Index entries for linear recurrences with constant coefficients, signature (3,0,-7,3,6,0,-6,-3,7,0,-3,1).

Formula

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

Crossrefs

Column k=3 of A327117.

Sequence in context: A037140 A321049 A007237 * A000339 A270944 A272457

Adjacent sequences: A327839 A327840 A327841 * A327843 A327844 A327845

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 27 2019

Status

approved