%I A041264
%S A041264 12,289,6948,167041,4015932,96549409,2321201748,55805391361,
%T A041264 1341650594412,32255419657249,775471722368388,18643576756498561,
%U A041264 448221313878333852,10775955109836511009,259071143949954598068
%N A041264 Numerators of continued fraction convergents to sqrt(145).
%H A041264 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A041264 a(n)=24*a(n-1)+a(n-2), n>1 ; a(0)=12, a(1)=289 . G.f.: (12+x)/(1-24*x-x^2). 
               [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
%F A041264 a(n)=6*{[12+sqrt(145)]^n+[12-sqrt(145)]^n}+(1/2)*sqrt(145)*{[12+sqrt(145)]^n 
               - [12-sqrt(145)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Nov 28 2008]
%Y A041264 Cf. A041265.
%Y A041264 Sequence in context: A145448 A001164 A041267 this_sequence A109867 A014130 
               A054942
%Y A041264 Adjacent sequences: A041261 A041262 A041263 this_sequence A041265 A041266 
               A041267
%K A041264 nonn,frac,easy
%O A041264 0,1
%A A041264 N. J. A. Sloane (njas(AT)research.att.com).
%E A041264 Corrected second formula. - Paolo P. Lava (ppl(AT)spl.at), Dec 01 2008