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Number of digits left of the radix point of n when written in base e using a greedy algorithm representation.
3

%I #21 Oct 24 2023 04:07:21

%S 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,

%T 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,

%U 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5

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

%C Essentially the same as A004233. - _R. J. Mathar_, Oct 23 2023

%H Paolo Xausa, <a href="/A363832/b363832.txt">Table of n, a(n) for n = 0..10000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Non-integer_base_of_numeration">Non-integer base of numeration</a>.

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

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

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

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

%K nonn,base

%O 0,4

%A _Paolo Xausa_, Oct 19 2023