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

2,3

Comments

This constant is transcendental.

Links

G. C. Greubel, Table of n, a(n) for n = 2..20000

Index entries for transcendental numbers

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

Example

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

Mathematica

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

Prog

(Magma)
m:= 250; R:=RealField(m+3); SetDefaultRealField(R);
A334402:= Cosh(Pi(R));
Prune(Reverse(IntegerToSequence(Floor( A334402*10^m )))); // G. C. Greubel, Nov 15 2025
(SageMath)
A334402= numerical_approx( cosh(pi) , digits= 255)
print([ZZ(i) for i in A334402.str()[:-5] if i.isdigit()]) # G. C. Greubel, Nov 15 2025

Crossrefs

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

Sequence in context: A306980 A063921 A346044 * A227574 A214869 A021632

Adjacent sequences: A334399 A334400 A334401 * A334403 A334404 A334405

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Apr 26 2020

Status

approved