|
| |
|
|
A087567
|
|
a(n)=(1/5)*sum(k=0,n,binomial(n,k)*Fibonacci(k)*5^k).
|
|
0
| |
|
|
1, 7, 68, 609, 5555, 50456, 458737, 4169823, 37904764, 344559985, 3132110411, 28471412592, 258809985953, 2352626740919, 21385776919540, 194400346514241, 1767132187070947, 16063531893267208, 146020234807218449
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
FORMULA
| a(n)=7*a(n-1)+19*a(n-2)
a(n)=-(7/50)*[7/2-(5/2)*sqrt(5)]^n*sqrt(5)+(7/50)*sqrt(5)*[7/2+(5/2)*sqrt(5)]^n+(1/2)*[7/2-(5/2) *sqrt(5)]^n+(1/2)*[7/2+(5/2)*sqrt(5)]^n, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 25 2008
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 7, -19) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
|
|
|
CROSSREFS
| Cf. A014445, A057088, A015553.
Sequence in context: A082698 A093170 A120079 * A136629 A197525 A133697
Adjacent sequences: A087564 A087565 A087566 * A087568 A087569 A087570
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 25 2003
|
| |
|
|
