A083316 a(n) = (2*6^n - (5^n - 3^n))/2.

1, 5, 28, 167, 1024, 6335, 39208, 241967, 1487584, 9110975, 55612888, 338471567, 2054977744, 12451139615, 75314797768, 454933369967, 2744837485504, 16545254288255, 99652801745848, 599823577977167, 3608476467634864

Offset

0,2

Comments

Binomial transform of A083315.

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (14,-63,90).

Formula

a(n) = (2*6^n - (5^n - 3^n))/2.

G.f.: (1-9x+21x^2)/((1-3x)(1-5x)(1-6x)).

E.g.f.: (2*exp(6x) - exp(5x) + exp(3x))/2.

Crossrefs

Sequence in context: A090040 A025174 A371778 * A027284 A069731 A272046

Adjacent sequences: A083313 A083314 A083315 * A083317 A083318 A083319

Keyword

easy,nonn

Author

Paul Barry, Apr 24 2003

Status

approved