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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 16 21:59 EST 2019. Contains 320200 sequences. (Running on oeis4.)