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A092616
Decimal expansion of e^(-1/4).
2
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
OFFSET
0,1
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 *)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Mohammad K. Azarian, Apr 22 2004
STATUS
approved