A090001 - OEIS

A090001

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

COMMENTS

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

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

MATHEMATICA

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

CROSSREFS

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

Sequence in context: A357982 A280444 A030422 * A269329 A117166 A078996

Adjacent sequences: A089998 A089999 A090000 * A090002 A090003 A090004

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Nov 20 2003

STATUS

approved