A092512 Decimal expansion of e^6.

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

Offset

3,1

Comments

Curiously, e^6 = 403.428793... is very close to Pi^4 + Pi^5 = 403.428775... - Jean-François Alcover, Jul 04 2013

Links

Table of n, a(n) for n=3..107.

Index entries for transcendental numbers

Formula

From Peter Bala, Jan 12 2022: (Start)

e^6 = 115 + (1/4)*Sum_{n >= 0} 6^(n+6)/((n+6)^2*(n+7)^2*n!).

115/e^6 = 1 - 5*Sum_{n >= 0} (-6)^(n+5)*n^2/(n+6)!. (End)

Example

403.428793492735122...

Mathematica

RealDigits[E^6, 10, 108][[1]] (* Alonso del Arte, Oct 05 2014 *)

Prog

(PARI) exp(6) \\ Charles R Greathouse IV, Oct 02 2022

Crossrefs

Cf. A001113, A072334, A091933, A092426, A092511, A092513.

Sequence in context: A316260 A119708 A106142 * A060568 A073466 A062525

Adjacent sequences: A092509 A092510 A092511 * A092513 A092514 A092515

Keyword

cons,nonn

Author

Mohammad K. Azarian, Apr 05 2004

Status

approved