A199319 4*6^n+1.

5, 25, 145, 865, 5185, 31105, 186625, 1119745, 6718465, 40310785, 241864705, 1451188225, 8707129345, 52242776065, 313456656385, 1880739938305, 11284439629825, 67706637778945, 406239826673665, 2437438960041985, 14624633760251905

Offset: 0

Author

Vincenzo Librandi, Nov 06 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 (7,-6).

Programs

Magma

[4*6^n+1: n in [0..30]];

Maple

A199319:=n->4*6^n + 1; seq(A199319(n), n=0..30); # Wesley Ivan Hurt, Feb 25 2014

Mathematica

Table[4*6^n + 1, {n, 0, 30}] (* Wesley Ivan Hurt, Feb 25 2014 *)
LinearRecurrence[{7,-6},{5,25},40] (* Harvey P. Dale, Oct 08 2015 *)

Formula

a(n) = 5*A083066(n).

a(n) = 6*a(n-1)-5.

a(n) = 7*a(n-1)-6*a(n-2).

G.f.: 5*(1-2*x)/((1-x)*(1-6*x)).