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A022359
Fibonacci sequence beginning 0, 25.
2
0, 25, 25, 50, 75, 125, 200, 325, 525, 850, 1375, 2225, 3600, 5825, 9425, 15250, 24675, 39925, 64600, 104525, 169125, 273650, 442775, 716425, 1159200, 1875625, 3034825, 4910450, 7945275, 12855725, 20801000, 33656725, 54457725, 88114450, 142572175, 230686625
OFFSET
0,2
FORMULA
G.f.: 25*x/(1 - x - x^2). - Philippe Deléham, Nov 20 2008
a(n) = (-25/2)*(Fibonacci(n) - Lucas(n)). - Harvey P. Dale, Nov 22 2012
a(n) = Lucas(n+5) + Lucas(n-5), with Lucas(-i) = (-1)^i*Lucas(i) for the negative indices. - Bruno Berselli, Dec 27 2016
MATHEMATICA
LinearRecurrence[{1, 1}, {0, 25}, 30] (* or *) Table[(-25/2)(Fibonacci[n] - LucasL[n]), {n, 50}] (* Harvey P. Dale, Nov 22 2012 *)
PROG
(Magma) [Lucas(n+5)+Lucas(n-5): n in [0..40]]; // Bruno Berselli, Dec 27 2016
(PARI) for(n=0, 50, print1(25*fibonacci(n), ", ")) \\ G. C. Greubel, Aug 26 2017
CROSSREFS
Sequence in context: A090092 A323522 A040601 * A147491 A147507 A146865
KEYWORD
nonn,easy
STATUS
approved