A090046 - OEIS

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

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OFFSET

1,7

COMMENTS

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

LINKS

Table of n, a(n) for n=1..105.

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 *)

CROSSREFS

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

Sequence in context: A109865 A206713 A096874 * A202551 A129267 A199324

Adjacent sequences: A090043 A090044 A090045 * A090047 A090048 A090049

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Nov 20 2003

STATUS

approved