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A087579
a(n) = (1/6)*Sum_{k=0..n} binomial(n,k)*Fibonacci(k)*6^k.
1
1, 8, 93, 976, 10505, 112344, 1203397, 12885152, 137979729, 1477507240, 15821470061, 169419470448, 1814178395353, 19426591805816, 208023907911765, 2227562425662784, 23853192734743457, 255424852222168392, 2735141407084907389, 29288451971122142480
OFFSET
0,2
FORMULA
a(n) = 8*a(n-1) + 29*a(n-2).
G.f.: 1 / (-29*x^2-8*x+1). - Colin Barker, Aug 08 2013
MATHEMATICA
Join[{b=1}, a=0; Table[c=8*b+29*a; a=b; b=c, {n, 30}]] (* Vladimir Joseph Stephan Orlovsky, Apr 22 2011 *)
LinearRecurrence[{8, 29}, {1, 8}, 20] (* Harvey P. Dale, Mar 22 2019 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Oct 25 2003
EXTENSIONS
More terms from Colin Barker, Aug 08 2013
STATUS
approved