A conjecture

[Vladeta Jovovic]

> %I A062870
> %S A062870 1, 1, 3, 4, 20, 36, 252, 576, 5184, 14400, 158400, 518400, 
> 6739200, 25401600
> %N A062870 Number of permutations of degree n with greatest sum of 
> distances.
> %F A062870 Conjecture: a(n) = (n/2)!^2 if n is even else n*((n-1)/2)!^2, 
> cf. A092186.
> %O A062870 1
> %K A062870 ,nonn,
> %A A062870 Vladeta Jovovic (vladeta at Eunet.yu), Aug 21 2007

V.