A083421 a(n)=2*5^n-2^n.

1, 8, 46, 242, 1234, 6218, 31186, 156122, 780994, 3905738, 19530226, 97654202, 488277154, 2441398058, 12207014866, 61035123482, 305175715714, 1525878775178, 7629394269106, 38146972131962, 190734862232674

Offset: 0

Author

Paul Barry, Apr 29 2003

Keywords

• easy
• nonn

Comments

Third binomial transform of A014551(n+1)

Links

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

Programs

Mathematica

Table[2*5^n-2^n,{n,0,20}] (* or *) LinearRecurrence[{7,-10},{1,8},30] (* Harvey P. Dale, Dec 03 2015 *)

Formula

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

e.g.f.: 2exp(5x)-exp(2x).

a(0)=1, a(1)=8, a(n)=7*a(n-1)-10*a(n-2). - Harvey P. Dale, Dec 03 2015