A139077 Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = round(M(n)).

1, 2, 3, 4, 6, 9, 13, 19, 27, 39, 57, 81, 119, 172, 244, 360, 517, 743, 1085, 1554, 2254, 3271, 4668, 6819, 9846, 14117, 20589, 29620, 42762, 62089, 89055, 129308, 187065, 267894, 390500, 563208, 811020, 1178088, 1694775, 2452059, 3551313, 5097655, 7405861, 10698505

Offset

1,2

Links

Table of n, a(n) for n=1..44.

Example

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, ...

Crossrefs

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

Sequence in context: A221718 A251571 A017983 * A017825 A247083 A159848

Adjacent sequences: A139074 A139075 A139076 * A139078 A139079 A139080

Keyword

nonn

Author

N. J. A. Sloane, Jun 03 2008

Status

approved