Search: id:A034474
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%I A034474
%S A034474 2,6,26,126,626,3126,15626,78126,390626,1953126,9765626,48828126,
%T A034474 244140626,1220703126,6103515626,30517578126,152587890626,762939453126,
%U A034474 3814697265626,19073486328126,95367431640626,476837158203126
%N A034474 5^n + 1.
%C A034474 Numbers n for which the expression 5^n/(n-1) is an integer. - Paolo P. 
               Lava (ppl(AT)spl.at), May 29 2006
%H A034474 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%F A034474 a(n) = 5a(n-1) - 4 = 6a(n-1) - 5a(n-2).
%F A034474 G.f.: 1/(1-x)+1/(1-5x). E.g.f.: e^x+e^(5*x). [From Mohammad K. Azarian 
               (azarian(AT)evansville.edu), Jan 02 2009]
%t A034474 Table[5^n + 1, {n, 0, 25}]
%o A034474 sage: [lucas_number2(n,6,5) for n in xrange(0,25)] - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jul 08 2008
%o A034474 (Other) sage: [sigma(5,n)for n in xrange(0,21)] # [From Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jun 04 2009]
%Y A034474 Cf. A000051, A034472, A052539, A062394, A034491, A062395, A062396, A007689, 
               A063376, A063481, A074600 - A074624.
%Y A034474 Sequence in context: A050890 A114710 A092880 this_sequence A123872 A030937 
               A030827
%Y A034474 Adjacent sequences: A034471 A034472 A034473 this_sequence A034475 A034476 
               A034477
%K A034474 easy,nonn
%O A034474 0,1
%A A034474 N. J. A. Sloane (njas(AT)research.att.com).

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