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.

A208733 Sequence related to Kashaev's invariant for the (5,2)-torus knot.

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%I A208733 #11 Jan 28 2013 13:21:46
%S A208733 1,2,6,23,109,621,4149,31851,276408,2676388,28608866,334647768,
%T A208733 4252140022,58322409086,858871301034
%N A208733 Sequence related to Kashaev's invariant for the (5,2)-torus knot.
%C A208733 This is sequence a_n(5) in Table 3 of Hikami 2003.
%H A208733 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 A208733 Define F(q) := sum {m,n >= 0} (q^(-m*n)*product {i = 1.. m+n} (1-q^i)).O.g.f.: F(1-q) = 1 + 2*q + 6*q^2 + 23*q^3 + ....
%F A208733 For n >=1, a(n) = 1/n!*sum {k = 1..n} |Stirling1(n,k)|*A208730(k).
%Y A208733 Cf. A208679, A208730, A208734, A209735.
%K A208733 nonn,easy
%O A208733 0,2
%A A208733 _Peter Bala_, Mar 02 2012