A346908 Decimal expansion of 2 - Pi / (2*sqrt(2)).

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

Offset: 0

Author

Sean A. Irvine, Aug 06 2021

Keywords

• nonn
• cons

Examples

			0.889279265460408438246029752484826575346344577656...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A346907, A346850, A346849, A093954.

Programs

Maple

evalf(2-Pi/sqrt(8), 140);  # Alois P. Heinz, Aug 06 2021

Mathematica

RealDigits[2 - Pi / (2 * Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 07 2023 *)

PARI

2 - Pi/(2*sqrt(2)) \\ Michel Marcus, Aug 06 2021

Formula

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