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A113858 Difference between A095765 and A095766. +0
1
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 (list; graph; listen)
OFFSET

1,10

COMMENT

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.

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: A083519 A069193 A078430 this_sequence A101130 A102309 A067230

Adjacent sequences: A113855 A113856 A113857 this_sequence A113859 A113860 A113861

KEYWORD

base,sign

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 24 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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