The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A081693 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A081693

Define two sequences by A_n = mex{A_i,B_i : 0 <= i < n}, B_n = B_{n-1} + (A_n-A_{n-1})(A_n-A_{n-1}+1), where the mex of a set is the smallest nonnegative integer not in the set. Sequence gives B_n. A_n is in A081692.
(history; published version)

#14 by N. J. A. Sloane at Fri Apr 14 03:55:28 EDT 2017

STATUS

proposed

approved

#13 by Clark Kimberling at Thu Apr 13 10:07:23 EDT 2017

STATUS

editing

proposed

#12 by Clark Kimberling at Thu Apr 13 09:49:30 EDT 2017

COMMENTS

Conjecture: Except for the initial 0, this is the sequence of positions of 1 in the fixed point of the morphism 0->01, 1->0000; see A284683. - Clark Kimberling, April 13 2017

STATUS

approved

editing

#11 by Joerg Arndt at Sun Nov 23 03:56:52 EST 2014

STATUS

proposed

approved

#10 by Michel Marcus at Sun Nov 23 03:51:51 EST 2014

STATUS

editing

proposed

#9 by Michel Marcus at Sun Nov 23 03:51:48 EST 2014

LINKS

A. S. Fraenkel, <a href="http://www.integers-ejcntemis.orgde/journals/INTEGERS/papers/eg6/eg6.Abstract.html">New games related to old and new sequences</a>, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.

STATUS

approved

editing

#8 by Charles R Greathouse IV at Fri May 10 12:45:11 EDT 2013

EXTENSIONS

More terms from _Vladeta Jovovic (vladeta(AT)eunet.rs), _, Apr 04 2003

Discussion

Fri May 10

12:45

OEIS Server: https://oeis.org/edit/global/1911

#7 by Russ Cox at Fri Mar 30 16:49:43 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Apr 02 2003

Discussion

Fri Mar 30

16:49

OEIS Server: https://oeis.org/edit/global/110

#6 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Euneteunet.yurs), Apr 04 2003

#5 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Apr 02 2003