

A254528


Number of decimal digits in the integer part of e^n.


1



1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 33
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OFFSET

0,4


COMMENTS

The entries from a(2) forward correspond to the number of terms between new maxima in A117920. For example, in A117920, new maxima are seen at n = 9, 12, 16, 20, 24, 29, 34, 40. The first differences between these index values are 3, 4, 4, 4, 5, 5, 6, which are a(6) through a(12).  Bill McEachen, Dec 30 2015


LINKS

Benedict W. J. Irwin, Table of n, a(n) for n = 0..10000


EXAMPLE

e^10 = 22026.46579480671..., so a(10) = 5.


MATHEMATICA

f[n_] := 1 + Floor@ Log10@ Exp@ n; Array[f, 75, 0]
Table[Sum[DigitCount[Floor[Exp[1]^k]][[n]], {n, 1, 10}], {k, 0, 150}] (* Benedict W. J. Irwin, Apr 13 2016 *)
IntegerLength[Floor[E^Range[0, 80]]] (* Harvey P. Dale, Aug 28 2017 *)


CROSSREFS

Cf. A001113, A072334, A091933, A092426, A092511, A092512, A092513 (see their offsets).
Sequence in context: A189574 A233795 A093337 * A176044 A120397 A104305
Adjacent sequences: A254525 A254526 A254527 * A254529 A254530 A254531


KEYWORD

base,nonn


AUTHOR

Robert G. Wilson v, Feb 01 2015


STATUS

approved



