Search: id:A046179
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%I A046179
%S A046179 1,143,27693,5372251,1042188953,202179284583,39221739020101,
%T A046179 7608815190614963,1476070925240282673,286350150681424223551,
%U A046179 55550453161271059086173
%N A046179 Indices of hexagonal numbers which are also pentagonal.
%H A046179 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HexagonalPentagonalNumber.html">Link to a section of The World of 
               Mathematics.</a>
%F A046179 a(n) = 194*a(n-1) - a(n-2) - 48; g.f.: (1-52*x+3*x^2)/((1-x)*(1-194*x+x^2)) 
               - Warut Roonguthai (warut822(AT)yahoo.com) Jan 08 2001
%F A046179 a(n)=(1/4)+(3/8)*[97-56*sqrt(3)]^n+(3/8)*[97+56*sqrt(3)]^n-(5/24)*[97-56*sqrt(3)]^n*sqrt(3)+(5 
               /24)*sqrt(3)*[97+56*sqrt(3)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Sep 26 2008]
%Y A046179 Cf. A046178, A046180.
%Y A046179 Sequence in context: A159054 A135946 A029555 this_sequence A147553 A030122 
               A057404
%Y A046179 Adjacent sequences: A046176 A046177 A046178 this_sequence A046180 A046181 
               A046182
%K A046179 nonn,easy
%O A046179 1,2
%A A046179 Eric Weisstein (eric(AT)weisstein.com)

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