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A138384 Reverse groups of five Fibonacci numbers. 1

%I #24 Jul 14 2022 22:44:37

%S 3,2,1,1,0,34,21,13,8,5,377,233,144,89,55,4181,2584,1597,987,610,

%T 46368,28657,17711,10946,6765,514229,317811,196418,121393,75025,

%U 5702887,3524578,2178309,1346269,832040,63245986,39088169,24157817,14930352,9227465,701408733

%N Reverse groups of five Fibonacci numbers.

%H G. C. Greubel, <a href="/A138384/b138384.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,11,0,0,0,0,1).

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

%F 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

%t 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 *)

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

%K nonn,easy

%O 0,1

%A _Paul Curtz_, May 08 2008

%E Extended beyond a(24) by _R. J. Mathar_, Nov 30 2008

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Last modified April 16 14:51 EDT 2024. Contains 371749 sequences. (Running on oeis4.)