A360938 - OEIS

A360938

Decimal expansion of arcsinh(Pi).

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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals log(Pi + sqrt(Pi^2 + 1)).

Equals Pi*Integral_{x=0..1} 1/sqrt((Pi^2)*x^2 + 1) dx.

EXAMPLE

1.862295743310848219888361325182620574902674184961554765612879514423...

MATHEMATICA

RealDigits[ArcSinh[Pi], 10, 105][[1]]