Search: id:A054486
Results 1-1 of 1 results found.

%I A054486
%S A054486 1,5,14,37,97,254,665,1741,4558,11933,31241,81790,214129,560597,
%T A054486 1467662,3842389,10059505,26336126,68948873,180510493,472582606,
%U A054486 1237237325,3239129369,8480150782,22201322977,58123818149,152170131470
%N A054486 A second order recursive sequence.
%D A054486 I. Adler, Three Diophantine equations - Part II, Fib. Quart., 7 (1969), 
               pps. 181-193.
%D A054486 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pps. 122-125, 194-196.
%D A054486 E. I. Emerson, Recurrent Sequences in the Equation DQ^2=R^2+N, Fib. Quart., 
               7 (1969), pps. 231-242.
%H A054486 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A054486 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A054486 a(n)=3a(n-1)-a(n-2), a(0)=1, a(1)=5.
%F A054486 a054486(n) + 7*A001519(n) = A005248(n) - Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), 
               Oct 30 2004
%F A054486 Lucas(2n+1) + Fibonacci(2n).
%F A054486 G.f.: (1+2*x)/(1-3*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 03 2008]
%e A054486 a(n)={5*([(3+sqrt(5))/2]^n-[(3-sqrt(5))/2]^n)-([(3+sqrt(5))/2]^(n-1)-[(3-sqrt(5))/
               2]^(n-1))}/sqrt(5).
%Y A054486 Cf. A002878.
%Y A054486 Sequence in context: A052951 A048745 A127980 this_sequence A072130 A045553 
               A111715
%Y A054486 Adjacent sequences: A054483 A054484 A054485 this_sequence A054487 A054488 
               A054489
%K A054486 easy,nonn
%O A054486 0,2
%A A054486 Barry E. Williams, May 06 2000
%E A054486 "a(1)=5", not "a(0)=5" Dan Nielsen (nielsed(AT)uah.edu), Sep 10 2009

Search completed in 0.001 seconds