Search: id:A041181
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%I A041181
%S A041181 1,20,401,8040,161201,3232060,64802401,1299280080,26050404001,
%T A041181 522307360100,10472197606001,209966259480120,4209797387208401,
%U A041181 84405914003648140,1692328077460171201,33930967463207072160
%N A041181 Denominators of continued fraction convergents to sqrt(101).
%C A041181 Generalized Pell numbers (A000129).Anti-diagonals of A038207. [From M. 
               Dols (markdols99(AT)yahoo.com), Aug 31 2009]
%H A041181 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A041181 a(n)=F(n, 20), the n-th Fibonacci polynomial evaluated at x=20. - T. 
               D. Noe (noe(AT)sspectra.com), Jan 19 2006
%F A041181 a(n)=20*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=20 . G.f.: 1/(1-20*x-x^2). 
               [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
%F A041181 a(n)=(5/101)*sqrt(101)*{[10+sqrt(101)]^n-[10-sqrt(101)]^n}+(1/2)*{[10 
               +sqrt(101)]^n+[10-sqrt(101)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Dec 03 2009]
%t A041181 a=0;lst={};s=0;Do[a=s-(a-1);AppendTo[lst,a];s+=a*20,{n,3*4!}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]
%Y A041181 Cf. A041180.
%Y A041181 Sequence in context: A006494 A007545 A055476 this_sequence A041762 A068772 
               A158601
%Y A041181 Adjacent sequences: A041178 A041179 A041180 this_sequence A041182 A041183 
               A041184
%K A041181 nonn,cofr,easy,less,new
%O A041181 0,2
%A A041181 N. J. A. Sloane (njas(AT)research.att.com).

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