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Revision History for A081349

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Showing entries 1-10 | older changes

A081349

Square maze arrangement of the natural numbers, read by antidiagonals.
(history; published version)

#11 by N. J. A. Sloane at Tue Jan 05 21:31:05 EST 2021

STATUS

proposed

approved

#10 by Jon E. Schoenfield at Tue Jan 05 20:25:00 EST 2021

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Tue Jan 05 20:24:43 EST 2021

EXAMPLE

.

1 8 ---9 24 ...

| | | |

2 7 10 23 ...

| | | |

3 6 11 22 ...

| | | |

4 ---5 12 21 ...

| |

15 --14 --13 20 ...

| |

16--17--18--19 ...

STATUS

approved

editing

Discussion

Tue Jan 05

20:25

Jon E. Schoenfield: Okay?

#8 by Peter Luschny at Tue Jan 05 09:55:53 EST 2021

STATUS

reviewed

approved

#7 by Joerg Arndt at Tue Jan 05 04:03:41 EST 2021

STATUS

proposed

reviewed

Discussion

Tue Jan 05

04:14

Michel Marcus: I woud have rather seen 1 for the offset, but A081350, A081351 and A081352 have offset 0, so ...

04:31

Kevin Ryde: I hadn't paid attention to that.  There's no inverse permutation yet, but if there was one then it'd want offset 1 here yes?  I think.  Related permutations A081344 (turn left at "2") and A093650 (turn left at "3") are both offset=1.

A081350 etc are "point numbers" on the axes, so their offset 0 is for reckoning X=0 or Y=0 as the origin.  They should be ok.

#6 by Michel Marcus at Tue Jan 05 04:00:11 EST 2021

STATUS

editing

proposed

#5 by Michel Marcus at Tue Jan 05 04:00:03 EST 2021

COMMENTS

First row is A081351. First column is A081350. Main diagonal is A081352. Main subdiagonal is 2*A000217(n+1).

EXAMPLE

Starting with 1,2,3,4, turn (LL) and then repeat (RRR)(LLL) to get:

1 8 9 24 ...

2 7 10 23 ...

3 6 11 22 ...

4 5 12 21 ...

15 14 13 20 ...

...

CROSSREFS

First row is A081351. First column is A081350.

Main diagonal is A081352. Main subdiagonal is 2*A000217(n+1).

STATUS

proposed

editing

Discussion

Tue Jan 05

04:00

Michel Marcus: ok ?

#4 by Kevin Ryde at Tue Jan 05 03:50:59 EST 2021

STATUS

editing

proposed

#3 by Kevin Ryde at Tue Jan 05 03:45:04 EST 2021

LINKS

<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

CROSSREFS

Cf. A081344, A093650.

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:58:48 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, Mar 19 2003

Discussion

Fri Mar 30

18:58

OEIS Server: https://oeis.org/edit/global/287