A289796 - OEIS

A289796

a(n) = (1/3)*A289795(n).

1, 8, 54, 361, 2420, 16227, 108802, 729512, 4891347, 32796280, 219897701, 1474404984, 9885824398, 66284043461, 444431768220, 2979896612959, 19980083465882, 133965632756376, 898234023419479, 6022621953315440, 40381430948778393, 270755823312682408

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OFFSET

0,2

COMMENTS

See A289780 for a guide to related sequences.

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

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

FORMULA

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

a(n) = 7*a(n-1) - 3*a(n-2) + 7*a(n-3) - a(n-4).

MATHEMATICA

z = 60; s = 3*x/(1 - x)^2; p = 1 - s - s^2;

Drop[CoefficientList[Series[s, {x, 0, z}], x], 1] (* A008585 *)

u = Drop[CoefficientList[Series[1/p, {x, 0, z}], x], 1] (* A289795 *)

u/3 (* A289796 *)

CROSSREFS

Cf. A289795, A289780.

Sequence in context: A057970 A208310 A154235 * A287814 A201640 A263885

Adjacent sequences: A289793 A289794 A289795 * A289797 A289798 A289799

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Aug 12 2017

STATUS

approved