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A087567
a(n) = (1/5)*Sum_{k=0..n} binomial(n,k)*Fibonacci(k)*5^k.
3
1, 7, 68, 609, 5555, 50456, 458737, 4169823, 37904764, 344559985, 3132110411, 28471412592, 258809985953, 2352626740919, 21385776919540, 194400346514241, 1767132187070947, 16063531893267208, 146020234807218449, 1327348749622606095, 12065825708695393196
OFFSET
0,2
FORMULA
a(n) = 7*a(n-1) + 19*a(n-2).
G.f.: 1 / (-19*x^2-7*x+1). - Colin Barker, Aug 08 2013
MATHEMATICA
LinearRecurrence[{7, 19}, {1, 7}, 25] (* Paolo Xausa, Jan 07 2024 *)
PROG
(Sage) [lucas_number1(n, 7, -19) for n in range(1, 20)] # Zerinvary Lajos, Apr 29 2009
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Oct 25 2003
EXTENSIONS
More terms from Colin Barker, Aug 08 2013
STATUS
approved