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

Author

Paolo Xausa, Oct 19 2023

Keywords

• nonn
• base

Comments

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

Examples

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

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Wikipedia, Non-integer base of numeration.

Crossrefs

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

Programs

Mathematica

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

Formula

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