A083331 a(n) = (3*5^n - 2*4^n + 3^n)/2.

1, 5, 26, 137, 722, 3785, 19706, 101897, 523682, 2677385, 13629386, 69136457, 349699442, 1764742985, 8889229466, 44709799817, 224608392002, 1127293880585, 5653520131946, 28335932715977, 141953379225362, 710862920970185

Offset: 0

Author

Paul Barry, Apr 27 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A083330.

Links

• Index entries for linear recurrences with constant coefficients, signature (12, -47, 60).

Formula

a(n) = (3*5^n - 2*4^n + 3^n)/2.

G.f.: (1-7x+13x^2)/(2(1-3x)(1-4x)(1-5x)).

E.g.f.: (3*exp(5x) - 2*exp(4x) + exp(3x))/2.