A138384 Reverse groups of five Fibonacci numbers.

3, 2, 1, 1, 0, 34, 21, 13, 8, 5, 377, 233, 144, 89, 55, 4181, 2584, 1597, 987, 610, 46368, 28657, 17711, 10946, 6765, 514229, 317811, 196418, 121393, 75025, 5702887, 3524578, 2178309, 1346269, 832040, 63245986, 39088169, 24157817, 14930352, 9227465, 701408733

Offset: 0

Author

Paul Curtz, May 08 2008

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,11,0,0,0,0,1).

Crossrefs

Cf. A102312 (and A049666), A099100, A134889, A134890, A134891, A000045.

Programs

Mathematica

With[{nn=10},Flatten[Reverse/@Partition[Fibonacci[Range[0,5*nn-1]],5]]] (* or *) LinearRecurrence[{0,0,0,0,11,0,0,0,0,1},{3,2,1,1,0,34,21,13,8,5},50] (* Harvey P. Dale, Jan 20 2015 *)

Formula

a(n) = 11*a(n-5) + a(n-10).

G.f.: (5*x^9 - 3*x^8 + 2*x^7 - x^6 + x^5 + x^3 + x^2 + 2*x + 3)/(-x^10 - 11*x^5 + 1). - Alexander R. Povolotsky, May 08 2008

Extensions

Extended beyond a(24) by R. J. Mathar, Nov 30 2008