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
Keywords
Links
- Index entries for linear recurrences with constant coefficients, signature (12,-39,28).
Crossrefs
Programs
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Maple
A155618:=n->7^n+4^n-1: seq(A155618(n), n=0..30); # Wesley Ivan Hurt, Apr 11 2017
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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