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Decimal expansion of Product_{k>=1} ((1 + sinh(1/k)) / exp(1/k)).
2

%I #12 Mar 20 2016 13:02:48

%S 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,

%T 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,

%U 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

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

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

%e 0.625635801977949844597484816103104429905206355112713196896034983259858...

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

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

%Y Cf. A130263, A246945, A249673, A270597.

%K nonn,cons

%O 0,1

%A _Vaclav Kotesovec_, Mar 20 2016