A199422 5*7^n+1.

6, 36, 246, 1716, 12006, 84036, 588246, 4117716, 28824006, 201768036, 1412376246, 9886633716, 69206436006, 484445052036, 3391115364246, 23737807549716, 166164652848006, 1163152569936036, 8142067989552246, 56994475926865716

Offset: 0

Author

Vincenzo Librandi, Nov 07 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-7).

Programs

Magma

[5*7^n+1: n in [0..30]];

Mathematica

5*7^Range[0,20]+1 (* or *) LinearRecurrence[{8,-7},{6,36},20] (* Harvey P. Dale, Dec 23 2012 *)

Formula

a(n) = 6*A083067(n).

a(n) = 7*a(n-1)-6.

a(n) = 8*a(n-1)-7*a(n-2).

G.f.: 6*(1-2*x)/((1-x)*(1-7*x)).