login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A074615
a(n) = 5^n + 6^n.
4
2, 11, 61, 341, 1921, 10901, 62281, 358061, 2070241, 12030821, 70231801, 411625181, 2420922961, 14281397141, 84467679721, 500702562701, 2973697798081, 17689598897861, 105374653934041, 628433226338621
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Jan 11 2009: (Start)
G.f.: 1/(1-5*x) + 1/(1-6*x).
E.g.f.: exp(5*x) + exp(6*x). (End)
a(n) = 11*a(n-1) - 30*a(n-2) with a(0)=2, a(1)=11. - Vincenzo Librandi, Jul 21 2010
MATHEMATICA
Table[5^n + 6^n, {n, 0, 20}]
PROG
(Magma) [5^n+6^n: n in [0..30]]; // G. C. Greubel, Jan 11 2023
(SageMath) [5^n+6^n for n in range(31)] # G. C. Greubel, Jan 11 2023
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 26 2002
STATUS
approved