A208734 Sequence related to Kashaev's invariant for the (7,2)-torus knot.

1, 3, 12, 62, 402, 3162, 29308, 312975, 3784365, 51110995, 762628152, 12458953182, 221186147507, 4240110073077, 87290431614432

Offset

0,2

Comments

This is sequence a_n(7) 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)|*A208731(k).

Crossrefs

Cf. A208680, A208731, A208733, A208735.

Sequence in context: A323630 A020033 A266329 * A305536 A121123 A361882

Adjacent sequences: A208731 A208732 A208733 * A208735 A208736 A208737

Keyword

nonn,easy

Author

Peter Bala, Mar 02 2012

Status

approved