cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A208731 Sequence related to Kashaev's invariant for the (7,2)-torus knot.

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%I A208731 #12 Jan 28 2013 13:20:59
%S A208731 1,3,21,303,7581,291903,16004541,11842303,113649275901,13729560793503,
%T A208731 2038432934681661,364819653173167503,77453921498088781821,
%U A208731 19245815560568454066303,5532998260944453966936381
%N A208731 Sequence related to Kashaev's invariant for the (7,2)-torus knot.
%C A208731 This is sequence b_n(7) in Table 2 of Hikami 2003.
%H A208731 K. Hikami, <a href="http://www.emis.de/journals/EM/expmath/volumes/12/12.3/Hikami.pdf">Volume Conjecture and Asymptotic Expansion of q-Series</a>, Experimental Mathematics Vol. 12, Issue 3 (2003).
%F A208731 a(n) = (25/56)^n*sum {k = 0..n} binomial(n,k)*A208680(k+1)/25^k.
%F A208731 Conjectural S-fraction for the o.g.f.: 1/(1-3*x/(1-4*x/(1-13*x/(1-15*x/(1-...-1/2*n*(7*n-1)*x/(1-1/2*n*(7*n+1)*x/(1- ....
%Y A208731 Cf. A079144, A208680, A208730, A208732, A208734.
%K A208731 nonn,easy
%O A208731 0,2
%A A208731 _Peter Bala_, Mar 01 2012