A152619 - OEIS

A152619

n*(n+2)^2

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

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..39.

Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081, 2014

Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).

FORMULA

a(n) = A027620(n-1), n>0.

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

MATHEMATICA

Table[n(n+2)^2, {n, 0, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)

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 *)

CROSSREFS

Sequence in context: A155098 A063134 A027620 * A051662 A326247 A362526

Adjacent sequences: A152616 A152617 A152618 * A152620 A152621 A152622

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Dec 09 2008

STATUS

approved