The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A265014 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A265014

Triangle read by rows: T(n,k) = number of neighbors in n-dimensional lattice for generalized neighborhood given with parameter k.
(history; published version)

#39 by Susanna Cuyler at Wed Sep 26 16:26:09 EDT 2018

STATUS

proposed

approved

#38 by Jean-François Alcover at Wed Sep 26 12:09:03 EDT 2018

STATUS

editing

proposed

#37 by Jean-François Alcover at Wed Sep 26 12:08:58 EDT 2018

MATHEMATICA

T[n_, k_] := 3^n - 2^(k+1) Binomial[n, k+1] Hypergeometric2F1[1, k-n+1, k+2, -2] - 1;

Table[T[n, k], {n, 1, 10}, {k, 1, n}] // Flatten (* Jean-François Alcover, Sep 26 2018 *)

STATUS

approved

editing

#36 by Bruno Berselli at Wed May 10 05:31:51 EDT 2017

STATUS

reviewed

approved

#35 by Joerg Arndt at Mon May 08 09:04:42 EDT 2017

STATUS

proposed

reviewed

Discussion

Mon May 08

10:02

Dmitry Zaitsev: thank you for your refinements

#34 by Michel Marcus at Mon May 08 07:54:46 EDT 2017

STATUS

editing

proposed

#33 by Michel Marcus at Mon May 08 07:54:35 EDT 2017

REFERENCES

D.A. Zaitsev, A generalized neighborhood for cellular automata, Theoretical Computer Science, 666 (2017), 21-35.Dmitry Zaitsev, k-neighborhood for Cellular Automata, arXiv preprint arXiv:1605.08870, 2016.

LINKS

Dmitry Zaitsev, <a href="https://arxiv.org/abs/1605.08870">k-neighborhood for Cellular Automata</a>, arXiv preprint arXiv:1605.08870 [cs.DM], 2016.

D. A. Zaitsev, <a href="https://doi.org/10.1016/j.tcs.2016.11.002">A generalized neighborhood for cellular automata</a>, Theoretical Computer Science, 666 (2017), 21-35.

STATUS

proposed

editing

Discussion

Mon May 08

07:54

Michel Marcus: Done

#32 by Dmitry Zaitsev at Mon May 08 06:44:30 EDT 2017

STATUS

editing

proposed

Discussion

Mon May 08

07:51

Michel Marcus: Sorry : 3 no's. 1: the 2 lines should be separated, 2: since by same author, the 2016 entry should be before the 2017 entry; 3: links are preferred over refs.

07:52

Michel Marcus: Let me show you , please wait.

#31 by Dmitry Zaitsev at Mon May 08 06:44:15 EDT 2017

REFERENCES

D.A. Zaitsev D.A. , A generalized neighborhood for cellular automata, Theoretical Computer Science. vol. , 666, (2017, ), 21-35.Dmitry Zaitsev, k-neighborhood for Cellular Automata, arXiv preprint arXiv:1605.08870, 2016.

Dmitry Zaitsev, k-neighborhood for Cellular Automata, arXiv preprint arXiv:1605.08870, 2016.

#30 by Dmitry Zaitsev at Mon May 08 06:39:03 EDT 2017

REFERENCES

Dmitry Zaitsev, k- D.A. A generalized neighborhood for Cellular Automata, arXiv preprint arXiv:1605cellular automata, Theoretical Computer Science. vol. 666, 2017, 21-35.08870, 201

Dmitry Zaitsev, k-neighborhood for Cellular Automata, arXiv preprint arXiv:1605.08870, 2016.

STATUS

approved

editing