A083585 (8*5^n - 5*2^n)/3.

1, 10, 60, 320, 1640, 8280, 41560, 208120, 1041240, 5207480, 26039960, 130204920, 651034840, 3255194680, 16276014360, 81380153720, 406900932440, 2034504989880, 10172525604760, 50862629334520, 254313149294040

Offset: 0

Author

Paul Barry, May 01 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A083854.

Links

• Index entries for linear recurrences with constant coefficients, signature (7,-10).

Programs

Mathematica

LinearRecurrence[{7, -10}, {1, 10}, 20] (* T. D. Noe, Aug 06 2013 *)

Formula

a(n) = (8*5^n-5*2^n)/3.

G.f. (1+3x)/((1-2x)(1-5x)).

E.g.f. (8*exp(5x) - 5*exp(2x))/3.