oeis.org

A152619 - OEIS

0, 9, 32, 75, 144, 245, 384, 567, 800, 1089, 1440, 1859, 2352, 2925, 3584, 4335, 5184, 6137, 7200, 8379, 9680, 11109, 12672, 14375, 16224, 18225, 20384, 22707, 25200, 27869, 30720, 33759, 36992, 40425, 44064, 47915, 51984, 56277, 60800, 65559

FORMULA

G.f.: x(9-4x+x^2)/(1-x)^4. [From R. J. Mathar, Dec 10 2008]

MATHEMATICA

CoefficientList[Series[x (9-4x+x^2)/(1-x)^4, {x, 0, 50}], x] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, 9, 32, 75}, 50] (* Harvey P. Dale, Aug 25 2023 *)