A198858 a(n) = 11*8^n-1.

10, 87, 703, 5631, 45055, 360447, 2883583, 23068671, 184549375, 1476395007, 11811160063, 94489280511, 755914244095, 6047313952767, 48378511622143, 387028092977151, 3096224743817215, 24769797950537727, 198158383604301823

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), n>1.

G.f.: ( 10-3*x ) / ( (8*x-1)*(x-1) ). - R. J. Mathar, Oct 31 2011

Maple

A198858:=n->11*8^n-1: seq(A198858(n), n=0..30); # Wesley Ivan Hurt, Jan 22 2017

Mathematica

11*8^Range[0, 20]-1 (* or *) LinearRecurrence[{9, -8}, {10, 87}, 20] (* Harvey P. Dale, May 19 2021 *)

Prog

(Magma) [11*8^n-1: n in [0..30]]
(PARI) a(n)=11*8^n-1 \\ Charles R Greathouse IV, Jan 23 2017

Crossrefs

Sequence in context: A264174 A218894 A251193 * A331793 A121115 A292998

Adjacent sequences: A198855 A198856 A198857 * A198859 A198860 A198861

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 31 2011

Status

approved