A268360 "Four"ier sequence: there is a unique base b >= 5 such that (n base b) contains the largest number of 4's.

9, 10, 11, 12, 13, 15, 17, 24, 28, 32, 36, 40, 44, 48, 49, 52, 56, 60, 68, 72, 74, 76, 80, 81, 84, 88, 92, 96, 99, 108, 109, 112, 114, 116, 119, 122, 123, 124, 128, 130, 132, 140, 149, 152, 154, 156, 166, 170, 171, 172, 173, 174, 176, 178, 179, 180, 184, 188, 192, 199

Offset

1,1

Links

Table of n, a(n) for n=1..60.

Example

130 is in the list because 130 in base 7 is written 244, and this is the only base where 130 contains two 4's.

Crossrefs

See also the Fouriest transform of n, A268236.

Sequence in context: A181699 A281196 A001731 * A297263 A296704 A297137

Adjacent sequences: A268357 A268358 A268359 * A268361 A268362 A268363

Keyword

nonn,base

Author

Erich Friedman, Feb 03 2016

Status

approved