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A085114 Binary expansion of Sum 1/(p*2^p) where p runs through the set of Artin primes (primes with primitive root 2). 1
0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

David H. Bailey and Richard E. Crandal conjectured that this constant is 2-normal.

REFERENCES

David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000

LINKS

Table of n, a(n) for n=0..103.

FORMULA

0.00001100010001111100....

PROG

(PARI) sum(k=1, 2000, if(znprimroot(prime(k))-2, 0, 1)*1./prime(k)/2^prime(k))

CROSSREFS

Cf. A001122, A085108.

Sequence in context: A275926 A131533 A131532 * A286336 A011661 A011660

Adjacent sequences:  A085111 A085112 A085113 * A085115 A085116 A085117

KEYWORD

base,cons,nonn

AUTHOR

Benoit Cloitre, Aug 10 2003

STATUS

approved

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Last modified January 20 13:06 EST 2022. Contains 350472 sequences. (Running on oeis4.)