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 A102312 a(n) = Fibonacci(5*n). 18
 0, 5, 55, 610, 6765, 75025, 832040, 9227465, 102334155, 1134903170, 12586269025, 139583862445, 1548008755920, 17167680177565, 190392490709135, 2111485077978050, 23416728348467685, 259695496911122585, 2880067194370816120, 31940434634990099905 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Colin Barker, Table of n, a(n) for n = 0..950 Michael D.Hirschhorn, A Naive Proof that F5n = 0 (mod 5), Fib. Q. 51(3), 2013, 256-258. Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (11,1). FORMULA G.f.: -5*x/(-1+11*x+x^2). a(n) = A000045(5*n) = 5*A049666(n). a(n) = Fibonacci(2*n)*Lucas(3*n)+Fibonacci(n). Lucas =A000032(n), Fibonacci=A000045(n). - Gary Detlefs, Dec 22 2012 a(n) = (-((11 - 5*sqrt(5))/2)^n + ((11+5*sqrt(5))/2)^n)/sqrt(5). - Colin Barker, Nov 10 2016 MAPLE seq(combinat:-fibonacci(5*n), n=0..100); # Robert Israel, Dec 12 2014 MATHEMATICA Table[ Fibonacci[5n], {n, 0, 17}] (* Robert G. Wilson v, Jan 09 2005 *) PROG (Sage) [fibonacci(5*n) for n in xrange(0, 18)] # Zerinvary Lajos, May 15 2009 (MAGMA) [Fibonacci(5*n): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011 (PARI) vector(18, n, fibonacci(5*n)) \\ Edward Jiang, Dec 11 2014 (PARI) concat(0, Vec(5*x/(1-11*x-x^2) + O(x^30))) \\ Colin Barker, Nov 10 2016 CROSSREFS Essentially the fifth column of array A102310. Cf. A049666. [Zerinvary Lajos, May 15 2009] Cf. A138134 (partial sums). Sequence in context: A002279 A119292 A139258 * A114909 A038261 A246153 Adjacent sequences:  A102309 A102310 A102311 * A102313 A102314 A102315 KEYWORD nonn,easy AUTHOR Ralf Stephan, Jan 06 2005 STATUS approved

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Last modified October 23 05:56 EDT 2019. Contains 328335 sequences. (Running on oeis4.)