Search: id:A104449
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%I A104449
%S A104449 3,1,4,5,9,14,23,37,60,97,157,254,411,665,1076,1741,2817,4558,7375,
%T A104449 11933,19308,31241,50549,81790,132339,214129,346468,560597,907065,
%U A104449 1467662,2374727,3842389,6217116
%N A104449 Fibonacci-type sequence. Each term is the sum of the two previous terms.
%C A104449 The 6th row in the Wythoff array begins with the 6th term of the sequence 
               (14, 23, 37, 60, 97, 157,...). a(n) = f(n-3) + f(n+2) for the Fibonacci 
               numbers f(n) = f(n-1) + f(n-2); f(0) = 0, f(1) = 1.
%D A104449 V. E. Hoggatt, Jr., Fibonacci and Lucas Numbers. Houghton, Boston, MA, 
               1969.
%H A104449 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A104449 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A104449 R. Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               ">Fibonacci Numbers and the Golden Section </a>.
%H A104449 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               FibonacciNumber.html">Fibonacci Number</a>.
%F A104449 a(n) = a(n-1) + a(n-2); a(0) = 3, a(1) = 1
%F A104449 a(n)=3*fibonacci(n-1)+fibonacci(n), n>=0. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Oct 05 2007
%F A104449 G.f.: (3-2x)/(1-x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 19 2008]
%p A104449 a:=n->3*fibonacci(n-1)+fibonacci(n): seq(a(n), n=0..32); - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Oct 05 2007
%Y A104449 Cf. Other Fibonacci-type sequences: A000045, A000032, A013655. Other 
               related sequences: A103343, A103344. Wythoff array: A035513.
%Y A104449 Essentially the same as A000285.
%Y A104449 Sequence in context: A068399 A105177 A050057 this_sequence A116416 A051203 
               A086271
%Y A104449 Adjacent sequences: A104446 A104447 A104448 this_sequence A104450 A104451 
               A104452
%K A104449 nonn
%O A104449 0,1
%A A104449 Casey Mongoven (cm(AT)caseymongoven.com), Mar 08 2005

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