A199555 a(n) = 7*8^n + 1.

8, 57, 449, 3585, 28673, 229377, 1835009, 14680065, 117440513, 939524097, 7516192769, 60129542145, 481036337153, 3848290697217, 30786325577729, 246290604621825, 1970324836974593, 15762598695796737, 126100789566373889, 1008806316530991105, 8070450532247928833, 64563604257983430657

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (9,-8).

Formula

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

a(n) = 9*a(n-1)-8*a(n-2).

G.f.: (8-15*x)/((1-x)*(1-8*x)).

Mathematica

7*8^Range[0, 25] + 1 (* Paolo Xausa, Apr 08 2026 *)

Prog

(Magma) [7*8^n+1: n in [0..30]];

Crossrefs

Sequence in context: A343352 A307642 A338676 * A241594 A241595 A208596

Adjacent sequences: A199552 A199553 A199554 * A199556 A199557 A199558

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 08 2011

Status

approved