A253212 a(n) = 9^n + 8.

9, 17, 89, 737, 6569, 59057, 531449, 4782977, 43046729, 387420497, 3486784409, 31381059617, 282429536489, 2541865828337, 22876792454969, 205891132094657, 1853020188851849, 16677181699666577, 150094635296999129, 1350851717672992097, 12157665459056928809

Offset

0,1

Comments

Subsequence of A226832.

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (10,-9).

Formula

G.f.: (9 - 73*x)/((1 - x)*(1 - 9*x)).

a(n) = 10*a(n-1) - 9*a(n-2) for n>1.

Mathematica

Table[9^n + 8, {n, 0, 40}]
LinearRecurrence[{10, -9}, {9, 17}, 30] (* Harvey P. Dale, Jul 02 2021 *)

Prog

(Magma) [9^n+8: n in [0..30]];

Crossrefs

Cf. similar sequences listed in A253208.

Cf. A177095, A226832.

Sequence in context: A116526 A197396 A015443 * A217965 A121442 A357567

Adjacent sequences: A253209 A253210 A253211 * A253213 A253214 A253215

Keyword

nonn,easy

Author

Vincenzo Librandi, Dec 30 2014

Status

approved