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A155618 a(n) = 7^n+4^n-1^n. 3
1, 10, 64, 406, 2656, 17830, 121744, 839926, 5830336, 40615750, 283523824, 1981521046, 13858064416, 96956119270, 678491508304, 4748635251766, 33237225536896, 232647693856390, 1628482317387184, 11399170063280086 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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
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 *)
CROSSREFS
Sequence in context: A367591 A241401 A219934 * A249978 A199487 A144041
KEYWORD
nonn
AUTHOR
Mohammad K. Azarian, Jan 27 2009
STATUS
approved

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)