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A175815 Numbers n such that the first n decimal digits of Euler's constant gamma contain equal numbers of even and odd decimal digits. 0

%I #7 May 15 2013 22:20:40

%S 18,52,54,58,60,62,230,234,236,242,290,292,294,298,3668,3670,3674,

%T 3676,3680,3682,3714,3716,3760,3762,3774,3776,3796,3798,3816,3818,

%U 3826,3828,3832,3838,3840,3866,3868,3872,3874,3876,4148,4186,4190,6018,6024,6036

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

%C Conjecturally infinite. - _Charles R Greathouse IV_, May 15 2013

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

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

%Y Cf. A175794

%K nonn,base

%O 1,1

%A _Michel Lagneau_, Sep 09 2010

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)