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A090003 Length of longest contiguous block of 1's in binary expansion of n^3. 6
0, 1, 1, 2, 1, 5, 2, 3, 1, 2, 5, 2, 2, 1, 3, 4, 1, 2, 2, 2, 5, 2, 2, 5, 2, 4, 1, 3, 3, 5, 4, 5, 1, 2, 2, 4, 2, 3, 2, 4, 5, 3, 2, 2, 2, 6, 5, 4, 2, 3, 4, 2, 1, 2, 3, 4, 3, 2, 5, 2, 4, 3, 5, 6, 1, 2, 2, 2, 2, 4, 4, 3, 2, 5, 3, 8, 2, 4, 4, 4, 5, 6, 3, 3, 2, 4, 2, 3, 2, 3, 6, 8, 5, 2, 4, 5, 2, 4, 3, 3, 4, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

a(n) = A038374(A000578(n)).

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..16384

Index entries for sequences related to binary expansion of n

MATHEMATICA

Join[{0}, Table[Max[Length/@Select[Split[IntegerDigits[n^3, 2]], MemberQ[#, 1]&]], {n, 110}]] (* Harvey P. Dale, Aug 28 2016 *)

PROG

(PARI)

A038374(n) = { if(n<2, return(n)); n>>=valuation(n, 2); if(n<2, return(n)); my(e=valuation(n+1, 2)); max(e, A038374(n>>e)); } \\ After Charles R Greathouse IV, Jan 12 2014

A090003(n) = A038374(n^3); \\ Antti Karttunen, Jul 09 2017

CROSSREFS

Cf. A000120, A090001, A090002, A090049.

Sequence in context: A260325 A136262 A162180 * A136645 A247498 A091381

Adjacent sequences:  A090000 A090001 A090002 * A090004 A090005 A090006

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Nov 20 2003

STATUS

approved

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Last modified May 19 16:42 EDT 2019. Contains 323395 sequences. (Running on oeis4.)