A334401 Decimal expansion of sinh(Pi).

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

Offset

2,3

Comments

This constant is transcendental.

Links

Table of n, a(n) for n=2..111.

Index entries for transcendental numbers

Formula

Equals Sum_{k>=0} Pi^(2*k+1)/(2*k+1)!.

Equals 2 * Product_{k>=1} (4*k^2+4)/(4*k^2-1).

Example

(e^Pi - e^(-Pi))/2 = 11.5487393572577483779773343153884...

Mathematica

RealDigits[Sinh[Pi], 10, 110] [[1]]

Crossrefs

Cf. A000796, A001113, A039661, A068470, A073742, A093580, A156648, A323983, A334402.

Sequence in context: A081818 A023848 A065015 * A295162 A002340 A335846

Adjacent sequences: A334398 A334399 A334400 * A334402 A334403 A334404

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Apr 26 2020

Status

approved