A270614 Decimal expansion of Product_{k>=1} ((1 + sinh(1/k)) / exp(1/k)).

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Formula

Equals limit n->infinity A130263(n)/n!.

Example

0.625635801977949844597484816103104429905206355112713196896034983259858...

Maple

evalf(Product((1+sinh(1/k))/exp(1/k), k=1..infinity), 120);

Prog

(PARI) default(realprecision, 120); exp(sumpos(k=1, log((1+sinh(1/k))/exp(1/k))))

Crossrefs

Cf. A130263, A246945, A249673, A270597.

Sequence in context: A006942 A074458 A010371 * A011489 A093601 A297981

Adjacent sequences: A270611 A270612 A270613 * A270615 A270616 A270617

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 20 2016

Status

approved