A091933 -id:A091933 - cp's OEIS frontend

A254528 Number of decimal digits in the integer part of e^n.

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

Offset: 0

Robert G. Wilson v, Feb 01 2015

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

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

Cf. A000149, A055642.

Cf. A001113, A072334, A091933, A092426, A092511, A092512, A092513 (see their offsets).

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 *)

a(n) = localprec(n+1); #Str(floor(exp(n))); \\ Michel Marcus, Dec 05 2020

a(n) = A055642(A000149(n)). - Amiram Eldar, May 25 2024

A367710 Decimal expansion of BesselI(0,2*sqrt(3)).

Original entry on oeis.org

7, 1, 5, 8, 9, 9, 6, 5, 3, 6, 8, 0, 4, 3, 8, 5, 0, 9, 3, 8, 2, 4, 4, 1, 2, 3, 0, 6, 3, 3, 3, 7, 9, 0, 6, 4, 8, 1, 0, 1, 1, 1, 6, 2, 0, 5, 9, 3, 2, 2, 5, 3, 2, 8, 6, 0, 1, 8, 6, 3, 0, 2, 3, 6, 8, 3, 3, 2, 9, 6, 9, 7, 2, 6, 3, 1, 9, 8, 4, 8, 5, 7, 6, 2, 1, 0, 2, 9, 5, 8, 5, 4, 9, 5, 7, 8, 6, 9, 3, 8

Offset: 1

Ilya Gutkovskiy, Nov 28 2023

			7.158996536804385093824412306333790648...

Cf. A070910, A091933, A367574, A367712.

RealDigits[BesselI[0, 2 Sqrt[3]], 10, 100][[1]]

Equals Sum_{k>=0} 3^k / k!^2.

A096439 Decimal expansion of (Pi^3 - e^3)^(1/2).

Original entry on oeis.org

3, 3, 0, 4, 6, 5, 4, 2, 5, 6, 8, 1, 9, 0, 3, 2, 5, 6, 4, 1, 5, 5, 3, 2, 4, 3, 1, 2, 9, 0, 0, 3, 4, 9, 5, 7, 7, 2, 5, 4, 0, 2, 5, 4, 3, 6, 4, 8, 7, 8, 4, 5, 2, 1, 7, 7, 9, 7, 3, 1, 8, 6, 0, 7, 8, 1, 4, 5, 5, 7, 6, 5, 5, 3, 0, 6, 3, 1, 7, 6, 5, 5, 3, 2, 2, 4, 9, 9, 0, 5, 8, 9, 1, 2, 8, 5, 2, 1, 1, 6, 1, 1, 5

Offset: 1

Mohammad K. Azarian, Aug 10 2004

			3.304654256819032564155324312900...

Cf. A091925, A091933, A096388.

RealDigits[Sqrt[Pi^3-E^3],10,120][[1]] (* Harvey P. Dale, May 05 2022 *)

A096440 Decimal expansion of (Pi^3 - e^3)^(1/3).

Original entry on oeis.org

2, 2, 1, 8, 6, 2, 5, 5, 9, 7, 1, 5, 6, 6, 4, 4, 8, 4, 0, 9, 8, 7, 0, 5, 7, 4, 3, 7, 8, 9, 8, 4, 9, 4, 7, 6, 4, 2, 8, 5, 9, 5, 7, 8, 4, 4, 5, 6, 0, 7, 9, 1, 9, 4, 3, 2, 8, 7, 0, 2, 0, 7, 4, 2, 3, 1, 2, 9, 9, 2, 8, 4, 4, 2, 4, 6, 6, 7, 5, 4, 3, 5, 2, 7, 2, 7, 7, 0, 4, 8, 9, 6, 3, 2, 8, 5, 3, 8, 6, 8, 0, 6, 1, 4, 5

Offset: 1

Mohammad K. Azarian, Aug 10 2004

			2.218625597156644840987057437898...

Cf. A091925, A091933, A096388.

(Pi^3 - exp(3))^(1/3) \\ Michel Marcus, Mar 11 2018

cp's OEIS Frontend

A254528 Number of decimal digits in the integer part of e^n.

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A367710 Decimal expansion of BesselI(0,2*sqrt(3)).

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A096439 Decimal expansion of (Pi^3 - e^3)^(1/2).

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A096440 Decimal expansion of (Pi^3 - e^3)^(1/3).

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PARI