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A049658
a(n) = (F(8*n+5) - 2)/3, where F=A000045 (the Fibonacci sequence).
2
1, 77, 3648, 171409, 8052605, 378301056, 17772097057, 834910260653, 39223010153664, 1842646566961585, 86565165637040861, 4066720138373958912, 191049281337939028033, 8975249502744760358669
OFFSET
0,2
FORMULA
G.f.: (1+29*x)/(1-48*x+48*x^2-x^3).
a(0)=1, a(1)=77, a(2)=3648, a(n)=48*a(n-1)-48*a(n-2)+a(n-3). - Harvey P. Dale, Jun 20 2013
MATHEMATICA
(Fibonacci[8Range[0, 20]+5]-2)/3 (* or *) LinearRecurrence[{48, -48, 1}, {1, 77, 3648}, 20] (* Harvey P. Dale, Jun 20 2013 *)
PROG
(PARI) for(n=0, 30, print1((fibonacci(8*n+5) - 2)/3, ", ")) \\ G. C. Greubel, Dec 02 2017
(Magma) [(Fibonacci(8*n+5) - 2)/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017
CROSSREFS
Sequence in context: A017740 A197193 A004378 * A217455 A116319 A217962
KEYWORD
nonn
EXTENSIONS
Description corrected by and more terms from Michael Somos
STATUS
approved