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Denominators of rational coefficients arising from the Kashaev invariant for the 4_1 knot.
1

%I #18 Dec 20 2024 17:18:45

%S 1,1,1,5,5,7,35,5,5,275,7,455,2275,175,25,14875,14875

%N Denominators of rational coefficients arising from the Kashaev invariant for the 4_1 knot.

%C 150 terms are known.

%H S. Garoufalidis, <a href="https://arxiv.org/abs/1201.3314">Quantum knot invariants</a>, arXiv:1201.3314 [math.GT], 2012-2013. See Table on page 9.

%H S. Garoufalidis, <a href="https://doi.org/10.1007/s40687-018-0127-3">Quantum knot invariants</a>, Research in the Mathematical Sciences, Vol. 5 (2018).

%e 1, 11, 697, 724351/5, 278392949/5, 244284791741/7, 1140363907117019/35, 212114205337147471/5, 367362844229968131557/5, ...

%Y Cf. A301732.

%K nonn,frac,more

%O 0,4

%A _N. J. A. Sloane_, Apr 02 2018