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A090000

Length of longest contiguous block of 1's in binary expansion of n-th prime.

1, 2, 1, 3, 2, 2, 1, 2, 3, 3, 5, 1, 1, 2, 4, 2, 3, 4, 2, 3, 1, 4, 2, 2, 2, 2, 3, 2, 2, 3, 7, 2, 1, 2, 1, 3, 3, 2, 3, 2, 2, 2, 6, 2, 2, 3, 2, 5, 3, 3, 3, 4, 4, 5, 1, 3, 2, 4, 1, 2, 2, 1, 2, 3, 3, 4, 2, 1, 2, 3, 2, 3, 4, 3, 4, 7, 2, 2, 2, 2, 2, 2, 4, 2, 3, 3, 3, 3, 3, 4, 3, 5, 4, 4, 5, 5, 7, 1, 2, 3, 2, 2, 2, 3, 3

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OFFSET

1,2

COMMENTS

a(n) = A038374(A000040(n)).

LINKS

John Mason, Table of n, a(n) for n = 1..20000

MATHEMATICA

f[n_] := Length[ Union[ DeleteCases[ Split[ IntegerDigits[n, 2]], 0, 2]][[ -1]]]; Table[ f[ Prime[n]], {n, 1, 105}] (* Robert G. Wilson v, Dec 04 2003 *)

CROSSREFS

Cf. A000120, A004676, A090001, A090002, A090003, A090046, A090593.

Sequence in context: A358379 A358553 A303639 * A109082 A324923 A126303

Adjacent sequences: A089997 A089998 A089999 * A090001 A090002 A090003

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Nov 20 2003

STATUS

approved