A085114 Binary expansion of Sum 1/(p*2^p) where p runs through the set of Artin primes (primes with primitive root 2).

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

Offset

0,1

Comments

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

Links

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

David H. Bailey and Richard E. Crandall, Random generators and normal numbers, Experimental Mathematics, Vol. 11, No. 4 (2002), pp. 527-546.

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: A131533 A131532 A353513 * A286336 A011661 A011660

Adjacent sequences: A085111 A085112 A085113 * A085115 A085116 A085117

Keyword

base,cons,nonn

Author

Benoit Cloitre, Aug 10 2003

Status

approved