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

0,1

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).

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

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 *)

Crossrefs

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

Sequence in context: A155033 A283417 A107889 * A129172 A355693 A318291

Adjacent sequences: A138381 A138382 A138383 * A138385 A138386 A138387

Keyword

nonn,easy

Author

Paul Curtz, May 08 2008

Extensions

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

Status

approved