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A182101 Random walk determined by the binary digits of the Dottie number, A003957. 1

%I

%S 0,1,0,1,2,3,4,3,4,3,2,3,4,3,4,3,2,3,2,3,2,3,4,5,4,5,6,7,6,7,8,7,6,5,

%T 4,3,4,5,6,7,6,5,6,7,8,7,6,5,6,5,6,7,6,7,8,7,8,9,10,9,8,9,8,9,8,9,10,

%U 9,10,9,10

%N Random walk determined by the binary digits of the Dottie number, A003957.

%C Start at a(0)=0. Each 0 in the binary expansion corresponds to a step of -1, while a 1 corresponds to a step of +1.

%C Partial sums of the sequence 2*A121967(n)-1.

%C The first time a(n) is negative is n=93.

%H G. C. Greubel, <a href="/A182101/b182101.txt">Table of n, a(n) for n = 0..5000</a>

%e a(5)=3, and the sixth bit of the Dottie number is 1, so a(6)=4.

%e On the other hand, the seventh bit of the Dottie number is 0, so a(7)=3.

%t Accumulate[RealDigits[FindRoot[Cos[x] == x, {x, 0}, WorkingPrecision -> 1000][[1, -1]], 2][[1]] 2 - 1]

%Y Cf. A003957, A121967, A166006 (analogous sequence for Pi).

%K sign,base

%O 0,5

%A _Ben Branman_, Apr 11 2012

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Last modified August 20 14:06 EDT 2019. Contains 326152 sequences. (Running on oeis4.)