Search: id:A055269
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%I A055269
%S A055269 1,7,30,116,437,1635,6106,22792,85065,317471,1184822,4421820,16502461,
%T A055269 61588027,229849650,857810576,3201392657,11947760055,44589647566,
%U A055269 166410830212,621053673285
%N A055269 a(n)=4a(n-1)-a(n-2)+3; a(0)=1, a(1)=7.
%D A055269 I. Adler, Three Diophantine equations - Part II, Fib. Quart., 7 (1969), 
               pps. 181-193.
%D A055269 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pps. 122-125, 194-196.
%D A055269 E. I. Emerson, Recurrent Sequences in the Equation DQ^2=R^2+N, Fib. Quart.,
               7 (1969), pps. 231-242.
%F A055269 a(n)={[(17-5*{2-sqrt(3)})(2+sqrt(3))^n+(5*{2+sqrt(3)}-17)(2-sqrt(3))^n]/
               [4*sqrt(3)]} -3/2.
%e A055269 G.f.=(1+2x)/(1-x)(1-4x+x^2). Also the first partial sum of A054491.
%Y A055269 Cf. A001834 and A054491.
%Y A055269 Sequence in context: A038798 A062455 A085277 this_sequence A026631 A037709 
               A037611
%Y A055269 Adjacent sequences: A055266 A055267 A055268 this_sequence A055270 A055271 
               A055272
%K A055269 easy,nonn
%O A055269 0,2
%A A055269 Barry E. Williams, May 10 2000
%E A055269 Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006

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