A155621 10^n+4^n-1^n

1, 13, 115, 1063, 10255, 101023, 1004095, 10016383, 100065535, 1000262143, 10001048575, 100004194303, 1000016777215, 10000067108863, 100000268435455, 1000001073741823, 10000004294967295, 100000017179869183

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (15,-54,40).

Formula

G.f.: 1/(1-10*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(10*x)+e^(4*x)-e^x.

a(n)=14*a(n-1)-40*a(n-2)-27 with a(0)=1, a(1)=13 [From Vincenzo Librandi, Jul 21 2010]

Mathematica

LinearRecurrence[{15, -54, 40}, {1, 13, 115}, 20] (* Harvey P. Dale, Oct 24 2016 *)

Crossrefs

A155588, A155599, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614, A155615, A155616, A155617, A155618, A155619, A155620

Sequence in context: A016765 A362514 A115188 * A232319 A296332 A021034

Adjacent sequences: A155618 A155619 A155620 * A155622 A155623 A155624

Keyword

nonn

Author

Mohammad K. Azarian, Jan 27 2009

Status

approved