A334402 Decimal expansion of cosh(Pi).

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

Offset: 2

Author

Ilya Gutkovskiy, Apr 26 2020

Keywords

• nonn
• cons

Comments

This constant is transcendental.

Examples

			(e^Pi + e^(-Pi))/2 = 11.5919532755215206277517520525601...
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A000796, A001113, A039661, A068470, A073743, A093580, A175314, A308715, A323982, A334401.

Programs

Mathematica

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

Formula

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

Equals Product_{k>=0} (1 + 4/(2*k+1)^2).

Equals Product_{k>=1} (k^2 + 4)/(k^2 + 1). - Amiram Eldar, Aug 09 2020