A092616 - OEIS

A092616

Decimal expansion of e^(-1/4).

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

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

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..104.

FORMULA

Equals limit_{n->oo} Product_{k=1..n} (k/n)^(k/n^2). - Vaclav Kotesovec, Oct 06 2023

EXAMPLE

0.778800783071404

MATHEMATICA

RealDigits[Surd[E, -4], 10, 120][[1]] (* Harvey P. Dale, Jul 07 2013 *)

Limit[Product[(k/n)^(k/n^2), {k, 1, n}], n->Infinity] (* Vaclav Kotesovec, Oct 06 2023 *)