A208735 Sequence related to Kashaev's invariant for the (9,2)-torus knot.

1, 4, 20, 130, 1070, 10738, 127316, 1741705, 27003335, 467906045, 8961068424, 187959552998, 4285257122545, 105513858706830, 2790444044794960

Offset

0,2

Comments

This is sequence a_n(9) in Table 3 of Hikami 2003.

Links

Table of n, a(n) for n=0..14.

K. Hikami, Volume Conjecture and Asymptotic Expansion of q-Series, Experimental Mathematics Vol. 12, Issue 3 (2003).

Formula

For n >=1, a(n) = 1/n!*sum {k = 1..n} |Stirling1(n,k)|*A208732(k).

Crossrefs

Cf. A208681, A208732, A208733, A208734.

Sequence in context: A360467 A361533 A307006 * A367887 A038173 A345756

Adjacent sequences: A208732 A208733 A208734 * A208736 A208737 A208738

Keyword

nonn,easy

Author

Peter Bala, Mar 02 2012

Status

approved