The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A296627 a(n) = BarnesG(4*n). 0
 0, 2, 24883200, 6658606584104736522240000000, 69113789582492712943486800506462734562847413501952000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..4. Eric Weisstein's World of Mathematics, Barnes G-Function. Wikipedia, Barnes G-function. FORMULA a(n) = A^15 * exp(-5/4) * 2^(7/3 - 14*n + 16*n^2) * Pi^(3/2 - 6*n) * BarnesG(n) * BarnesG(1/4 + n)^2 * BarnesG(1/2 + n)^3 * BarnesG(3/4 + n)^4 * BarnesG(1 + n)^3 * BarnesG(5/4 + n)^2 * BarnesG(3/2 + n), where A is the Glaisher-Kinkelin constant A074962. a(n) ~ 2^(16*n^2 - 6*n + 1/3) * n^(8*n^2 - 4*n + 5/12) * Pi^(2*n - 1/2) / (A * exp(12*n^2 - 4*n - 1/12)), where A is the Glaisher-Kinkelin constant A074962. MATHEMATICA Table[BarnesG[4*n], {n, 0, 6}] Round[Table[Glaisher^15 * E^(-5/4) * 2^(7/3 - 14*n + 16*n^2) * Pi^(3/2 - 6*n) * BarnesG[n] * BarnesG[1/4 + n]^2 * BarnesG[1/2 + n]^3 * BarnesG[3/4 + n]^4 * BarnesG[1 + n]^3 * BarnesG[5/4 + n]^2 * BarnesG[3/2 + n], {n, 0, 6}]] CROSSREFS Cf. A000178, A296607, A296608. Sequence in context: A157992 A322145 A301810 * A247214 A367833 A135235 Adjacent sequences: A296624 A296625 A296626 * A296628 A296629 A296630 KEYWORD nonn AUTHOR Vaclav Kotesovec, Dec 17 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 12 12:19 EDT 2024. Contains 374247 sequences. (Running on oeis4.)