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A182101
Random walk determined by the binary digits of the Dottie number, A003957.
1
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, 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, 9, 10, 9, 10
OFFSET
0,5
COMMENTS
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.
Partial sums of the sequence 2*A121967(n)-1.
The first time a(n) is negative is n=93.
LINKS
EXAMPLE
a(5)=3, and the sixth bit of the Dottie number is 1, so a(6)=4.
On the other hand, the seventh bit of the Dottie number is 0, so a(7)=3.
MATHEMATICA
Accumulate[RealDigits[FindRoot[Cos[x] == x, {x, 0}, WorkingPrecision -> 1000][[1, -1]], 2][[1]] 2 - 1]
CROSSREFS
Cf. A003957, A121967, A166006 (analogous sequence for Pi).
Sequence in context: A106826 A259582 A139048 * A242289 A349229 A158515
KEYWORD
sign,base
AUTHOR
Ben Branman, Apr 11 2012
STATUS
approved