A155667 a(n) = 10^n-8^n+1.

1, 3, 37, 489, 5905, 67233, 737857, 7902849, 83222785, 865782273, 8926258177, 91410065409, 931280523265, 9450244186113, 95601953488897, 964815627911169, 9718525023289345, 97748200186314753, 981985601490518017

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (19,-98,80).

Formula

G.f.: 1/(1-10*x)-1/(1-8*x)+1/(1-x).

E.g.f.: e^(10*x)-e^(8*x)+e^x.

a(n) = 18*a(n-1)-80*a(n-2)+63 with a(0) = 1, a(1) = 3. - Vincenzo Librandi, Jul 21 2010

a(n) = 19*a(n-1) - 98*a(n-2) + 80*a(n-3). - Wesley Ivan Hurt, Apr 18 2023

Mathematica

Table[10^n - 8^n + 1, {n, 0, 25}] (* Paolo Xausa, Aug 02 2024 *)

Prog

(PARI) a(n)=10^n-8^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665, A155666.

Sequence in context: A346952 A336242 A054596 * A216696 A362724 A333385

Adjacent sequences: A155664 A155665 A155666 * A155668 A155669 A155670

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 31 2009

Status

approved