A199487 9*7^n+1.

10, 64, 442, 3088, 21610, 151264, 1058842, 7411888, 51883210, 363182464, 2542277242, 17795940688, 124571584810, 872001093664, 6104007655642, 42728053589488, 299096375126410, 2093674625884864, 14655722381194042, 102590056668358288

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-7).

Formula

a(n) = 7*a(n-1)-6.

a(n) = 8*a(n-1)-7*a(n-2).

G.f.: 2*(5-8*x)/((1-x)*(1-7*x)).

Mathematica

(9*7^Range[0, 20])+1 (* or *) LinearRecurrence[{8, -7}, {10, 64}, 20] (* Harvey P. Dale, May 10 2014 *)

Prog

(Magma) [9*7^n+1: n in [0..30]];

Crossrefs

Sequence in context: A219934 A155618 A249978 * A144041 A352113 A286070

Adjacent sequences: A199484 A199485 A199486 * A199488 A199489 A199490

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 07 2011

Status

approved