A199207 a(n) = 7*4^n+1.

8, 29, 113, 449, 1793, 7169, 28673, 114689, 458753, 1835009, 7340033, 29360129, 117440513, 469762049, 1879048193, 7516192769, 30064771073, 120259084289, 481036337153, 1924145348609, 7696581394433, 30786325577729

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-4).

Formula

a(n) = 4*a(n-1)-3.

a(n) = 5*a(n-1)-4*a(n-2).

G.f.: (8-11*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011

Mathematica

7*4^Range[0, 30]+1 (* or *) LinearRecurrence[{5, -4}, {8, 29}, 30] (* Harvey P. Dale, Jan 21 2023 *)

Prog

(Magma) [7*4^n+1: n in [0..30]];

Crossrefs

Sequence in context: A294838 A116952 A261478 * A088131 A072264 A110527

Adjacent sequences: A199204 A199205 A199206 * A199208 A199209 A199210

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 04 2011

Status

approved