The On-Line Encyclopedia of Integer Sequences (OEIS)

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A090001

Length of longest contiguous block of 1's in binary expansion of n^2.
(history; published version)

#7 by Harvey P. Dale at Fri Nov 28 14:05:59 EST 2014

STATUS

editing

approved

#6 by Harvey P. Dale at Fri Nov 28 14:05:52 EST 2014

LINKS

Harvey P. Dale, <a href="/A090001/b090001.txt">Table of n, a(n) for n = 0..1000</a>

STATUS

approved

editing

#5 by Harvey P. Dale at Fri Nov 28 14:04:17 EST 2014

STATUS

editing

approved

#4 by Harvey P. Dale at Fri Nov 28 14:04:11 EST 2014

MATHEMATICA

Join[{0}, Table[Max[Length/@Select[Split[IntegerDigits[n^2, 2]], MemberQ[ #, 1]&]], {n, 110}]] (* Harvey P. Dale, Nov 28 2014 *)

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 18:50:42 EDT 2012

AUTHOR

_Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, Nov 20 2003

Discussion

Fri Mar 30

18:50

OEIS Server: https://oeis.org/edit/global/246

#2 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

nonn,base,new

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystemsgmail.com), Nov 20 2003

#1 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

Length of longest contiguous block of 1's in binary expansion of n^2.

DATA

0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 4, 1, 1, 2, 3, 1, 1, 1, 2, 2, 3, 4, 1, 1, 3, 1, 2, 2, 2, 3, 4, 1, 1, 1, 2, 1, 2, 2, 5, 2, 2, 3, 3, 4, 6, 1, 1, 1, 2, 3, 1, 1, 5, 2, 4, 2, 2, 2, 2, 3, 3, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 6, 2, 3, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 6, 2, 1, 3, 1, 2, 1, 2, 2, 2, 3, 5

OFFSET

0,6

COMMENTS

a(n) = A038374(A000290(n)).

CROSSREFS

Cf. A000120, A090003, A090002, A090000, A089998, A090047.

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Nov 20 2003

STATUS

approved