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A049659
a(n) = (F(8*n+6) - 2)/3, where F=A000045 (the Fibonacci sequence).
1
2, 125, 5903, 277346, 13029389, 612103967, 28755857090, 1350913179293, 63464163569711, 2981464774597154, 140065380242496557, 6580091406622741055, 309124230731026333058, 14522258752951614912701
OFFSET
0,1
FORMULA
G.f.: (2 +29*x -x^2 )/( (1-x)*(x^2-47*x+1) ). - R. J. Mathar, Oct 26 2015
MATHEMATICA
LinearRecurrence[{48, -48, 1}, {2, 125, 5903}, 50] (* or *) Table[ (Fibonacci[8*n+6]-2)/3, {n, 0, 30}] (* G. C. Greubel, Dec 02 2017 *)
PROG
(PARI) for(n=0, 30, print1((fibonacci(8*n+8) - 2)/3, ", ")) \\ G. C. Greubel, Dec 02 2017
(Magma) [(Fibonacci(8*n+6) - 2)/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017
CROSSREFS
Sequence in context: A042921 A123006 A028481 * A209602 A237994 A348159
KEYWORD
nonn,easy
EXTENSIONS
Description corrected by and more terms from James A. Sellers, Jan 20 2000
STATUS
approved