%I
%S 0,1,7,45,313,2421,20833,198309,2073793,23664021,292834513,3907994949,
%T 55967406433,856355084661,13944569166193,240803714700069,
%U 4395998055854593,84596337986326101,1711691067680320273
%N For each permutation p of {1,2,...,n} define maxjump(p) = max(p(i)  i); a(n) is sum of maxjumps of all p.
%F a(n) = Sum_{k=0..n1} k*k!*((k+1)^(nk)k^(nk)).
%F a(n) = Sum_{k=0..n*(n1)/2} k*A127452(n1,k).  _Paul D. Hanna_, Jan 15 2007
%t Table[Sum[k*k!*((k+1)^(nk)k^(nk)),{k,0,n1}],{n,1,20}] (* _Vaclav Kotesovec_, Mar 17 2014 *)
%Y Cf. A127452, A130153.
%K nonn
%O 1,3
%A _Emeric Deutsch_
