A363832 Number of digits left of the radix point of n when written in base e using a greedy algorithm representation.

1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset

0,4

Comments

Essentially the same as A004233. - R. J. Mathar, Oct 23 2023

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Wikipedia, Non-integer base of numeration.

Formula

a(0) = 1; for n >= 1, a(n) = floor(log_e(n)) + 1.

Example

a(10) = 3 because 10 in base e (102.11201...) has 3 digits before the radix point.

Mathematica

A363832[n_]:=Floor[Log[E, Max[n, 1]]]+1; Array[A363832, 100, 0]

Crossrefs

Cf. A001113, A055642, A105116, A362692, A366721.

Sequence in context: A077430 A105513 A004233 * A130259 A068549 A132173

Adjacent sequences: A363829 A363830 A363831 * A363833 A363834 A363835

Keyword

nonn,base

Author

Paolo Xausa, Oct 19 2023

Status

approved