A175815 Numbers n such that the first n decimal digits of Euler's constant gamma contain equal numbers of even and odd decimal digits.

18, 52, 54, 58, 60, 62, 230, 234, 236, 242, 290, 292, 294, 298, 3668, 3670, 3674, 3676, 3680, 3682, 3714, 3716, 3760, 3762, 3774, 3776, 3796, 3798, 3816, 3818, 3826, 3828, 3832, 3838, 3840, 3866, 3868, 3872, 3874, 3876, 4148, 4186, 4190, 6018, 6024, 6036

Offset

1,1

Comments

Conjecturally infinite. - Charles R Greathouse IV, May 15 2013

Links

Table of n, a(n) for n=1..46.

Example

18 is in the sequence because, the first 18 digits of gamma = .577215664901532860 have 9 even and 9 odd digits.

Mathematica

L= Rest@FoldList[ Plus, 0, (-1)^First@ RealDigits[EulerGamma, 10, 7000]] ; Do[If [L[[n]]==0, Print[n]], {n, 7000}]

Crossrefs

Cf. A175794

Sequence in context: A093520 A051870 A262454 * A069130 A299071 A124711

Adjacent sequences: A175812 A175813 A175814 * A175816 A175817 A175818

Keyword

nonn,base

Author

Michel Lagneau, Sep 09 2010

Status

approved