A081709 Decimal expansion of lim_{i->infinity} Product_{j=2..i} Gamma(j+zeta(j+1)) / Gamma(j+zeta(j)).

4, 6, 3, 4, 6, 1, 2, 6, 1, 6, 4, 7, 8, 5, 2, 2, 0, 0, 1, 1, 3, 1, 3, 2, 5, 1, 9, 8, 7, 9, 0, 4, 9, 0, 8, 8, 3, 8, 1, 8, 3, 7, 2, 0, 8, 0, 2, 9, 5, 1, 5, 7, 3, 4, 6, 5, 5, 5, 0, 2, 3, 2, 9, 9, 8, 1, 7, 8, 9, 4, 6, 6, 9, 5, 8, 0, 3, 9, 4, 1, 2, 5, 7, 3, 7, 6, 5

Offset

0,1

Comments

May help in the exploration of zeta(3).

Links

Table of n, a(n) for n=0..86.

Example

0.4634612616478522001131325...

Maple

t := 1:for i from 2 to 450 do t := evalf(t*GAMMA(i+Zeta(i+1))/GAMMA(i+Zeta(i)), 60) end do;

Crossrefs

Cf. A002117.

Sequence in context: A198121 A244020 A179374 * A200640 A179453 A273819

Adjacent sequences: A081706 A081707 A081708 * A081710 A081711 A081712

Keyword

cons,easy,nonn

Author

Andre Kauffman (andrekff(AT)hotmail.com), Apr 04 2003

Extensions

More terms from Jon E. Schoenfield, Mar 11 2018

Name corrected by Sean A. Irvine, Nov 05 2025

Status

approved