%I A049440
%S A049440 9,17,105,1313,21385,374833,6688617,119863873,2150198793,
%T A049440 38580909137,692294282601,12422665840481,222915477614473,
%U A049440 4000055027956849,71778071199324777,1288005210351490177
%N A049440 Fib(3n)^2 - 2*Fib(3n) + 4*Fib(3n+1) + 5.
%C A049440 Continued fraction for sqrt(a(n)) has period n.
%F A049440 G.f.: (-x^5 - 91*x^4 + 534*x^3 + 370*x^2 - 181*x + 9)/((x^2-18*x+1)*(x^2-1)*(x^2+4*x-1)) 
               - Michael Somos.
%F A049440 a(n) = 22a(n-1) - 71a(n-2) - 36a(n-3) + 73a(n-4) + 14a(n-5) - a(n-6).
%Y A049440 Sequence in context: A116526 A015443 A121442 this_sequence A073221 A110462 
               A132375
%Y A049440 Adjacent sequences: A049437 A049438 A049439 this_sequence A049441 A049442 
               A049443
%K A049440 nonn,cofr
%O A049440 0,1
%A A049440 David W. Wilson (davidwwilson(AT)comcast.net)