A155618 a(n) = 7^n+4^n-1^n.

1, 10, 64, 406, 2656, 17830, 121744, 839926, 5830336, 40615750, 283523824, 1981521046, 13858064416, 96956119270, 678491508304, 4748635251766, 33237225536896, 232647693856390, 1628482317387184, 11399170063280086

Offset: 0

Author

Mohammad K. Azarian, Jan 27 2009

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (12,-39,28).

Crossrefs

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

Programs

Maple

A155618:=n->7^n+4^n-1: seq(A155618(n), n=0..30); # Wesley Ivan Hurt, Apr 11 2017

Mathematica

Table[7^n+4^n-1,{n,0,20}] (* or *) LinearRecurrence[{12,-39,28},{1,10,64},20] (* Harvey P. Dale, Feb 04 2014 *)

Formula

G.f.: 1/(1-7*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(7*x)+e^(4*x)-e^x.

a(n) = 11*a(n-1)-28*a(n-2)-18 with a(0)=1, a(1)=10 [Vincenzo Librandi, Jul 21 2010]

a(0)=1, a(1)=10, a(2)=64, a(n) = 12*a(n-1)-39*a(n-2)+28*a(n-3). - Harvey P. Dale, Feb 04 2014