A295219 - OEIS

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A295219

Decimal expansion of Product_{n>=1} n*sin(1/n).

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

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

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..87.

FORMULA

Equals 1*sin(1/1) * 2*sin(1/2) * 3*sin(1/3) * 4*sin(1/4) * 5*sin(1/5) * ...

From Amiram Eldar, Jul 30 2023: (Start)

Equals exp(Sum_{k>=1} 2^(2*k-1)*(-1)^k*B(2*k)*zeta(2*k)/(k*(2*k)!)), where B(k) is the k-th Bernoulli number.

Equals exp(-Sum_{k>=1} zeta(2*k)^2/(k*Pi^(2*k))). (End)

EXAMPLE

0.75536338851857321406336498617047655...