

A065880


Largest positive number that is n times the number of 1's in its binary expansion, or 0 if no such number exists.


8



0, 1, 2, 6, 4, 10, 12, 21, 8, 18, 20, 55, 24, 0, 42, 60, 16, 34, 36, 0, 40, 126, 110, 115, 48, 0, 0, 108, 84, 116, 120, 155, 32, 66, 68, 0, 72, 222, 0, 156, 80, 246, 252, 172, 220, 180, 230, 0, 96, 0, 0, 204, 0, 318, 216, 0, 168, 285, 232, 295, 240, 366, 310, 378, 64, 130
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OFFSET

0,3


COMMENTS

a(n) is bounded above by n*A272756(n), so a program only has to check values up to that point to see if a(n) is zero.  Peter Kagey, May 05 2016


LINKS

Peter Kagey, Table of n, a(n) for n = 0..10000


EXAMPLE

a(23)=115 since 115 is written in binary as 1110011 and 115/(1+1+1+0+0+1+1)=23 and there is no higher possibility (if k is more than 127 then k divided by its number of binary 1's is more than 26).


MATHEMATICA

Table[SelectFirst[Reverse@ Range@ #, First@ DigitCount[#, 2] == #/n &] &[n SelectFirst[Range[2^12], # > IntegerLength[n #, 2] &]], {n, 80}] /. k_ /; MissingQ@ k > 0 (* Michael De Vlieger, May 05 2016, Version 10.2 *)


CROSSREFS

A052489 is the base 10 equivalent.
Cf. A000120, A049445, A058898, A065413, A065878, A065879, A272756.
Sequence in context: A245579 A245788 A065879 * A335063 A090546 A242901
Adjacent sequences: A065877 A065878 A065879 * A065881 A065882 A065883


KEYWORD

base,nonn


AUTHOR

Henry Bottomley, Nov 26 2001


STATUS

approved



