A336518 Decimal expansion of 1 + Pi/log(4).

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

Offset: 1

Author

Peter Luschny, Aug 10 2020

Keywords

• nonn
• cons

Examples

			3.26618007091359690481384147285833340508593073386189779209300827397030...
		

Crossrefs

Cf. A000796, A016627.

Programs

Maple

Digits := 100: 1 + Pi/log(4): evalf(%, 100)*10^86:
ListTools:-Reverse(convert(floor(%), base, 10));

PARI

1 + Pi/log(4) \\ Michel Marcus, Aug 10 2020

Formula

Equals limit_{z->0} -z*Z(1-z, 1) - z*(Z(1-z, 1/4) - Z(1-z, 3/4))/(2^(1-z) - 2), where Z(v, w) is the Hurwitz zeta function.

Equals 1 + (PolyGamma(3/4) - PolyGamma(1/4)) / log(4).