A155619 8^n+4^n-1^n

1, 11, 79, 575, 4351, 33791, 266239, 2113535, 16842751, 134479871, 1074790399, 8594128895, 68736253951, 549822922751, 4398314946559, 35185445830655, 281479271677951, 2251816993554431, 18014467228958719, 144115462953762815

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (13,-44,32).

Formula

G.f.: 1/(1-8*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(8*x)+e^(4*x)-e^x.

a(n)=12*a(n-1)-32*a(n-2)-21 with a(0)=1, a(1)=11 [From Vincenzo Librandi, Jul 21 2010]

a(0)=1, a(1)=11, a(2)=79, a(n)=13*a(n-1)-44*a(n-2)+32*a(n-3). - Harvey P. Dale, Jun 19 2013

Mathematica

Table[8^n+4^n-1, {n, 0, 30}] (* or *) LinearRecurrence[{13, -44, 32}, {1, 11, 79}, 30] (* Harvey P. Dale, Jun 19 2013 *)

Crossrefs

A155588, A155599, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614, A155615, A155616, A155617, A155618

Sequence in context: A101028 A125348 A337929 * A126506 A159663 A227244

Adjacent sequences: A155616 A155617 A155618 * A155620 A155621 A155622

Keyword

nonn

Author

Mohammad K. Azarian, Jan 27 2009

Status

approved