A027085 - OEIS

A027085

a(n) = A027082(n, n+3).

5, 16, 39, 84, 169, 328, 623, 1168, 2173, 4024, 7431, 13700, 25233, 46448, 85471, 157248, 289269, 532096, 978727, 1800212, 3311161, 6090232, 11201743, 20603280, 37895405, 69700584, 128199431, 235795588, 433695777, 797690976

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (3,-2,0,-1,1).

FORMULA

G.f.: (x^3-x^2-x-5)/((x-1)^2(x^3+x^2+x-1)). - Harvey P. Dale, May 15 2013

a(n) = A027025(n) + n + 1.

a(n) = A000213(n+6) -3*(n+4). - R. J. Mathar, Jun 24 2020

MATHEMATICA

CoefficientList[Series[-((-x^3+x^2+x+5)/((x-1)^2 (x^3+x^2+x-1))), {x, 0, 30}], x] (* Harvey P. Dale, May 15 2013 *)

CROSSREFS

Cf. A027025, A027082.

Sequence in context: A216173 A269747 A011863 * A099452 A006007 A001753

Adjacent sequences: A027082 A027083 A027084 * A027086 A027087 A027088

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved