A139078 Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = ceiling(M(n)).

1, 2, 3, 4, 7, 9, 13, 19, 27, 40, 58, 81, 119, 173, 245, 360, 518, 744, 1086, 1555, 2255, 3271, 4668, 6819, 9847, 14117, 20590, 29620, 42763, 62089, 89056, 129308, 187065, 267894, 390500, 563209, 811021, 1178089, 1694775, 2452060, 3551314, 5097656, 7405862, 10698506

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, A139077.

Sequence in context: A241131 A339397 A129373 * A065046 A049709 A108950

Adjacent sequences: A139075 A139076 A139077 * A139079 A139080 A139081

Keyword

nonn

Author

N. J. A. Sloane, Jun 03 2008

Status

approved