A376875 Decimal expansion of ((1 + 1/a)*exp(-a) + (1 - 1/a)*exp(a))*sqrt(12/121) where a = Pi*sqrt(11/36).

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

Offset: 0

Author

Peter Luschny, Oct 08 2024

Keywords

• nonn
• cons

Examples

			0.8458241095064968469946537798479521705867329950973150...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000

Programs

Maple

a := Pi*sqrt(11/36): c := ((1 + 1/a)*exp(-a) + (1 - 1/a)*exp(a))*sqrt(12/121):
Digits := 110: evalf(c, Digits)*10^94: ListTools:-Reverse(convert(floor(%), base, 10));

Mathematica

First[RealDigits[((1 + 1/#)*Exp[-#] + (1 - 1/#)*Exp[#])*Sqrt[12/121] & [Pi*Sqrt[11/36]], 10, 100]] (* Paolo Xausa, Feb 26 2025 *)

Formula

Equals (4*sqrt(3/11)*(sqrt(11)*Pi*cosh((sqrt(11)*Pi)/6) - 6*sinh((sqrt(11)*Pi)/6)))/(11*Pi).