A113858 - OEIS

%I #4 Mar 30 2012 17:31:17

%S 0,0,0,1,1,-1,1,1,1,3,5,10,10,38,48,85,157,280,477,900,1540,2894,5464,

%T 9762,18132,33450,62364,116657,217500,407235,763246,1432291,2698847,

%U 5087838,9620802,18210979,34487702,65417618,124353014,236558508

%N Difference between A095765 and A095766.

%C A095765: Number of primes whose binary expansion begins '10' less A095766: Number of primes whose binary expansion begins '11'.

%C The difference between successive runs of A112416.

%C A112416: a(n) = next-to-most-significant binary digit of n-th prime.

%t f[n_] := PrimePi[2^n + 2^(n - 1)] - PrimePi[2^n] - PrimePi[2^(n + 1)] + PrimePi[2^n + 2^(n - 1) - 1]; Array[f, 40]

%Y Cf. A106701, A112416, A095765-A095766.

%K base,sign

%O 1,10

%A _Robert G. Wilson v_, Jan 24 2006