The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002251

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A002251

Start with the nonnegative integers; then swap L(k) and U(k) for all k >= 1, where L = A000201, U = A001950 (lower and upper Wythoff sequences).
(history; published version)

#81 by Michael De Vlieger at Mon Aug 21 13:58:52 EDT 2023

STATUS

reviewed

approved

#80 by Michel Marcus at Mon Aug 21 13:13:45 EDT 2023

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proposed

reviewed

#79 by Michael De Vlieger at Mon Aug 21 12:56:28 EDT 2023

STATUS

editing

proposed

#78 by Michael De Vlieger at Mon Aug 21 12:56:26 EDT 2023

LINKS

Jeffrey Shallit, <a href="https://arxiv.org/abs/2308.06544">Proving properties of some greedily-defined integer recurrences via automata theory</a>, arXiv:2308.06544 [cs.DM], 2023.

STATUS

approved

editing

#77 by Michael De Vlieger at Fri Jul 14 09:03:46 EDT 2023

STATUS

reviewed

approved

#76 by Joerg Arndt at Fri Jul 14 07:51:01 EDT 2023

STATUS

proposed

reviewed

Discussion

Fri Jul 14

08:19

Jeffrey Shallit: Depends on your understanding of "formula", I suppose.   In general I see lots of OEIS sequences with formulas in the comments, so I'm not clear on when it should be a comment and when a formula.  But I definitely prefer editors just doing what they want done, instead of asking contributors to do it!

#75 by Joerg Arndt at Fri Jul 14 07:50:58 EDT 2023

STATUS

editing

proposed

#74 by Joerg Arndt at Fri Jul 14 07:50:44 EDT 2023

COMMENTS

There is a 7-state Fibonacci automaton (see a002251_1.pdf) that accepts, in parallel, the Zeckendorf representations of n and a(n). - Jeffrey Shallit, Jul 14 2023

FORMULA

There is a 7-state Fibonacci automaton (see a002251_1.pdf) that accepts, in parallel, the Zeckendorf representations of n and a(n). - Jeffrey Shallit, Jul 14 2023

STATUS

proposed

editing

Discussion

Fri Jul 14

07:50

Joerg Arndt: I dared to move to comment section.

#73 by Michel Marcus at Fri Jul 14 07:21:42 EDT 2023

STATUS

editing

proposed

#72 by Michel Marcus at Fri Jul 14 07:21:38 EDT 2023

LINKS

Alex Meadows, and B. Putman, <a href="https://arxiv.org/abs/1606.06819">A New Twist on Wythoff's Game</a>, arXiv preprint arXiv:1606.06819 [math.CO], 2016.

Jeffrey Shallit, <a href="/A002251/a002251_1.pdf">Automaton for A002251</a>

STATUS

proposed

editing