A087567 a(n) = (1/5)*Sum_{k=0..n} binomial(n,k)*Fibonacci(k)*5^k.

1, 7, 68, 609, 5555, 50456, 458737, 4169823, 37904764, 344559985, 3132110411, 28471412592, 258809985953, 2352626740919, 21385776919540, 194400346514241, 1767132187070947, 16063531893267208, 146020234807218449, 1327348749622606095, 12065825708695393196

Offset: 0

Author

Benoit Cloitre, Oct 25 2003

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (7,19).

Crossrefs

Cf. A014445, A057088, A015553.

Programs

Mathematica

LinearRecurrence[{7,19},{1,7},25] (* Paolo Xausa, Jan 07 2024 *)

Sage

[lucas_number1(n,7,-19) for n in range(1, 20)] # Zerinvary Lajos, Apr 29 2009

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

Extensions

More terms from Colin Barker, Aug 08 2013