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Revision History for A007583 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = (2^(2*n + 1) + 1)/3.
(history; published version)
#220 by Alois P. Heinz at Wed Jul 17 17:29:24 EDT 2024
STATUS

proposed

approved

#219 by Michael De Vlieger at Wed Jul 17 17:01:27 EDT 2024
STATUS

editing

proposed

#218 by Michael De Vlieger at Wed Jul 17 17:01:17 EDT 2024
LINKS

C. Cecilia Bebeacua, T. Toufik Mansour, A. Alexander Postnikov and S. , Simone Severini, <a href="https://arxiv.org/abs/math/0506334">On the X-rays of permutations</a>, arXiv:math/0506334 [math.CO], 2005.

Greg Bell, A. Austin Lawson, N. Neil Pritchard, and D. Dan Yasaki, <a href="https://arxiv.org/abs/1711.00809">On locally infinite Cayley graphs of the integers</a>, arXiv preprint arXiv:1711.00809 [math.GT], 2017. See lambda_2.

J. John R. Britnell and M. Mark Wildon, <a href="https://arxiv.org/abs/1507.04803">Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in types A, B and D</a>, arXiv:1507.04803 [math.CO], 2015.

E. Ernesto Estrada and J. José A. de la Pena, <a href="http://arxiv.org/abs/1302.1176">From Integer Sequences to Block Designs via Counting Walks in Graphs</a>, arXiv preprint arXiv:1302.1176 [math.CO], 2013.

E. Ernesto Estrada and J. José A. de la Pena, <a href="http://www.nntdm.net/papers/nntdm-19/NNTDM-19-3-78-84.pdf">Integer sequences from walks in graphs</a>, Notes on Number Theory and Discrete Mathematics, Vol. 19, 2013, No. 3, 78-84.

S. Sungpyo Hong and J. H. Jin Ho Kwak, <a href="http://dx.doi.org/10.1002/jgt.3190170509">Regular fourfold coverings with respect to the identity automorphism</a>, J. Graph Theory, 17 (1993), 621-627.

#217 by Michael De Vlieger at Wed Jul 17 16:58:08 EDT 2024
LINKS

Hannah Golab, <a href="http://danaernst.com/scholarship/GolabThesis.pdf">Pattern avoidance in Cayley permutations</a>, Master's Thesis, Northern Arizona Univ. (2024). See p. 35.

STATUS

approved

editing

#216 by N. J. A. Sloane at Wed Aug 02 14:36:30 EDT 2023
STATUS

proposed

approved

#215 by Dmitry Kamenetsky at Mon Jul 24 05:56:00 EDT 2023
STATUS

editing

proposed

#214 by Dmitry Kamenetsky at Mon Jul 24 05:55:25 EDT 2023
COMMENTS

The smallest positive number that requires at least n additions and subtractions of powers of 2 to be formed. See Puzzling StackExchange link. - Alexander Cooke Jul 16 2023

LINKS

Dmitry Kamenetsky, <a href="https://puzzling.stackexchange.com/questions/121545/a-magic-grasshopper/">A magic grasshopper</a>, Puzzling StackExchange, 2023.

STATUS

proposed

editing

Discussion
Mon Jul 24
05:55
Dmitry Kamenetsky: added link. It's for my puzzle after all :)
#213 by Michel Marcus at Sun Jul 23 10:25:46 EDT 2023
STATUS

editing

proposed

#212 by Michel Marcus at Sun Jul 23 10:25:30 EDT 2023
COMMENTS

The smallest positive number that requires at least n additions and subtractions of powers of 2 to be formed. https://puzzling.stackexchange.com/a/121555/75211- _Alexander Cooke_ Jul 16 2023

- Alexander Cooke July 16.

STATUS

proposed

editing

Discussion
Sun Jul 23
10:25
Michel Marcus: link must go to the links section
#211 by Dmitry Kamenetsky at Sun Jul 23 10:04:21 EDT 2023
STATUS

editing

proposed