A090046 Length of longest contiguous block of 0's in binary expansion of n-th prime.

1, 0, 1, 0, 1, 1, 3, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 3, 2, 2, 2, 2, 4, 2, 2, 1, 1, 3, 0, 5, 3, 3, 2, 2, 2, 3, 2, 1, 2, 1, 1, 5, 3, 3, 2, 1, 3, 2, 2, 1, 3, 1, 7, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 1, 4, 2, 1, 1, 1, 1, 4, 3, 3, 2, 3, 2, 1, 3, 1, 1, 5, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 5, 5, 4, 3, 3, 3, 3, 3

Offset: 1

Author

Reinhard Zumkeller, Nov 20 2003

Keywords

• nonn
• base

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A004676, A023416, A087117, A090000, A090047, A090048, A090049.

Programs

Mathematica

f[n_] := Length[ Union[ DeleteCases[ Split[ IntegerDigits[n, 2]], 1, 2]][[ -1]]]; Table[ f[ Prime[n]], {n, 1, 105}] (* Robert G. Wilson v, Dec 03 2003 *)

Formula

a(n) = A087117(A000040(n)).