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Revision History for A175020

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Showing entries 1-10 | older changes
An integer n is included if n is the smallest positive integer with its particular multiset of run-lengths (of either 0 or 1 considered together) in its binary representation.
(history; published version)
#18 by N. J. A. Sloane at Sun Sep 03 21:30:21 EDT 2017
STATUS

proposed

approved

#17 by Michael De Vlieger at Sun Sep 03 20:16:40 EDT 2017
STATUS

editing

proposed

#16 by Michael De Vlieger at Sun Sep 03 20:16:34 EDT 2017
LINKS

Michael De Vlieger, <a href="/A175020/b175020.txt">Table of n, a(n) for n = 1..14167</a> (Terms n <= 10^8).

#15 by Michael De Vlieger at Sun Sep 03 20:05:40 EDT 2017
MATHEMATICA

With[{s = Array[Sort@ Map[Length, Split@ IntegerDigits[#, 2]] &, 224]}, Values[PositionIndex@ s][[All, 1]]] (* Michael De Vlieger, Sep 03 2017 *)

CROSSREFS

Complement is A175021.

Cf. A175021, (complement), A175022, A175023, A175024, A000975.

STATUS

approved

editing

#14 by Charles R Greathouse IV at Tue Mar 11 01:32:49 EDT 2014
AUTHOR

__Leroy Quet__, , Nov 03 2009

Discussion
Tue Mar 11
01:32
OEIS Server: https://oeis.org/edit/global/2122
#13 by N. J. A. Sloane at Wed Feb 05 20:19:00 EST 2014
AUTHOR

__Leroy Quet_, _, Nov 03 2009

Discussion
Wed Feb 05
20:19
OEIS Server: https://oeis.org/edit/global/2118
#12 by N. J. A. Sloane at Wed Feb 05 20:12:14 EST 2014
AUTHOR

_Leroy Quet, _, Nov 03 2009

Discussion
Wed Feb 05
20:12
OEIS Server: https://oeis.org/edit/global/2117
#11 by Joerg Arndt at Sat Mar 09 04:46:41 EST 2013
STATUS

editing

approved

#10 by Joerg Arndt at Sat Mar 09 04:46:21 EST 2013
COMMENTS

Equivalently, numbers in whose binary representation the runs of 1's are in increasing order of length, the runs of 0's are in decreasing order of length, and all runs of 0's are at least as long as any run of 1's. The position of [1^m] in the partitions of m will be P(m-1). It is the last partition in the list with a part of size 1; anything with a part of size 2 or more will start 100... in the binary representation, while this partition starts 101...; and any partition that does not have a part of size 1 will start 11.... Removing one part of size 1 from the partitions of size m that have such a part gives each partition of m-1 uniquely. This relationship is expressed by the second formula of A002865. - _Franklin T. Adams-Watters, _, Nov 03 2009

MAPLE

Contribution from R. J. Mathar, Feb 27 2010: (Start)

for n from 1 to 300 do if isA175020(n) then printf("%d, ", n) ; end if; end do; (End)

# R. J. Mathar, Feb 27 2010

STATUS

proposed

editing

#9 by Michel Marcus at Fri Mar 08 23:49:00 EST 2013
STATUS

editing

proposed