A113858 Difference between A095765 and A095766.

0, 0, 0, 1, 1, -1, 1, 1, 1, 3, 5, 10, 10, 38, 48, 85, 157, 280, 477, 900, 1540, 2894, 5464, 9762, 18132, 33450, 62364, 116657, 217500, 407235, 763246, 1432291, 2698847, 5087838, 9620802, 18210979, 34487702, 65417618, 124353014, 236558508

Offset

1,10

Comments

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

The difference between successive runs of A112416.

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

Links

Table of n, a(n) for n=1..40.

Mathematica

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]

Crossrefs

Cf. A106701, A112416, A095765-A095766.

Sequence in context: A342424 A335003 A332049 * A101130 A191513 A254540

Adjacent sequences: A113855 A113856 A113857 * A113859 A113860 A113861

Keyword

base,sign

Author

Robert G. Wilson v, Jan 24 2006

Status

approved