%I #3 Mar 30 2012 16:50:49

%S 1,2,3,4,6,9,13,19,27,39,57,81,119,172,244,360,517,743,1085,1554,2254,

%T 3271,4668,6819,9846,14117,20589,29620,42762,62089,89055,129308,

%U 187065,267894,390500,563208,811020,1178088,1694775,2452059,3551313,5097655,7405861,10698505

%N Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = round(M(n)).

%e The sequence of M(n)'s begins 1, 2, 3, 4, 6.2500000000000000000, 9, 12.703703703703703703..., 18.962962962962962963..., 27, 39.062500000000000000, 57.191406250000000000, 81, 118.81376000000000000, 172.10368000000000000, 244.14062500000000000, ...

%Y Suggested by A000792. Cf. A139050, A139051, A139076, A139078.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jun 03 2008