A092511 Decimal expansion of e^5.

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

Offset

3,2

Links

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

Index entries for transcendental numbers

Formula

From Peter Bala, Jan 12 2022: (Start)

e^5 = 456 - Sum_{n >= 0} 5^(n+6)/((n+5)^2*(n+6)^2*n!).

456/e^5 = 1 - 4!*Sum_{n >=0} (-5)^(n+4)*n^2/(n+5)!. (End)

Example

148.413159102

Mathematica

RealDigits[E^5, 10, 120][[1]] (* Harvey P. Dale, May 31 2020 *)

Prog

(PARI) exp(5) \\ Charles R Greathouse IV, Oct 02 2022

Crossrefs

Cf. A001113, A072334, A091933, A092426, A092512, A092513.

Sequence in context: A365941 A365946 A365944 * A045816 A085991 A122110

Adjacent sequences: A092508 A092509 A092510 * A092512 A092513 A092514

Keyword

cons,nonn

Author

Mohammad K. Azarian, Apr 05 2004

Status

approved