A256850 Decimal expansion of the generalized Euler constant gamma(5,5) (negated).

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

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

D. H. Lehmer, Euler constants for arithmetic progressions, Acta Arith. 27 (1975) p. 134.

Formula

Equals (EulerGamma - log(5))/5.

Example

-0.20644444950651350279884944862875704169668840366571882462...

Mathematica

RealDigits[EulerGamma/5 - Log[5]/5, 10, 102] // First

Prog

(PARI) default(realprecision, 100); (Euler - log(5))/5 \\ G. C. Greubel, Aug 28 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (EulerGamma(R) - Log(5))/5; // G. C. Greubel, Aug 28 2018

Crossrefs

Cf. A001620 (gamma(1,1) = EulerGamma),

Primitive ruler-and-compass constructible gamma(r,k): A228725 (1,2), A256425 (1,3), A256778 (1,4), A256779 (1,5), A256780 (2,5), A256781 (1,8), A256782 (3,8), A256783 (1,12), A256784 (5,12),

Other gamma(r,k) (1 <= r <= k <= 5): A239097 (2,2), A256843 (2,3), A256844 (3,3), A256845 (2,4), A256846 (3,4), A256847 (4,4), A256848 (3,5), A256849 (4,5), A256850 (5,5).

Sequence in context: A291240 A233207 A136656 * A242561 A131595 A290826

Adjacent sequences: A256847 A256848 A256849 * A256851 A256852 A256853

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Apr 11 2015

Status

approved