Search: id:A046194
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%I A046194
%S A046194 1,55,121771,5720653,12625478965,593128762435,1309034909945503,
%T A046194 61496776341083161,135723357520344181225,6376108764003055554511,
%U A046194 14072069153115290487843091,661087708807868029661744485
%N A046194 Heptagonal triangular numbers.
%H A046194 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HeptagonalTriangularNumber.html">Link to a section of The World of 
               Mathematics.</a>
%F A046194 The two bisections satisfy the same recurrence relation: a(n+2)=103682*a(n+1)-a(n)+18144 
               or a(n+1)=51841*a(n)+9072+2898*(320*a(n)^2+112*a(n)+9)^0.5. The g.f. 
               satisfies f(z)=(z+55*z^2+18088*z^3+18088*z^4+55*z^5+z^6)/((1-z^2)*(1-103682*z^2+z^4)=1*z+55*z^2+121771*z^\
               3+... - Richard Choulet (richardchoulet(AT)yahoo.fr), Sep 20 2007
%Y A046194 Cf. A039835, A046193.
%Y A046194 Sequence in context: A163036 A033512 A027580 this_sequence A093255 A115410 
               A036197
%Y A046194 Adjacent sequences: A046191 A046192 A046193 this_sequence A046195 A046196 
               A046197
%K A046194 nonn
%O A046194 1,2
%A A046194 Eric Weisstein (eric(AT)weisstein.com)

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