STATUS
reviewed
approved
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Revision History for A337368
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Spiral on a 2D square lattice, one term per cell, starting at the origin with 0; the four integers forming any 2 X 2 square have all digits 0 through 9 (with duplicate digits allowed).
(history; published version)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
COMMENTS
This is defined to be the lexicographically earliest permutation of the nonnegative integers with this property.
EXAMPLE
The spiral starts with the 2x2 2 X 2 square 0,1,2,A and this square contains all the digits 0--> through 9 at least once; the upper right 2x2 2 X 2 square (here) has the same property —— and so have all the 2x2 2 X 2 squares of the grid.
.
. 18———K——19———L——289—54———21——22 A = 3456789
. | | B = 356789
. 208 9———G——10——11———H———13 4056789 C = 306789
. | | | | D = 103789
. 41 F 4———B——24———5 42 26 E = 45679
. | | | | | | F = 35679
. 23 80 12 0———1 C 14 305789 G = 1028
. | | | | | | | H = 306798
. 17 E 3———A———2 45 20 36 I = 3589
. | | | | . J = 20359
. J 8——102——7———D———6 13789 . K = 34567
. | | . L= 34576
. 16——467——I——46——25——204——15 . ...
18———K——19———L——289—54———21——22 A = 3456789
| | B = 356789
208 9———G——10——11———H———13 4056789 C = 306789
| | | | D = 103789
41 F 4———B——24———5 42 26 E = 45679
| | | | | | F = 35679
23 80 12 0———1 C 14 305789 G = 1028
| | | | | | | H = 306798
17 E 3———A———2 45 20 36 I = 3589
| | | | . J = 20359
J 8——102——7———D———6 13789 . K = 34567
| | . L= 34576
16——467——I——46——25——204——15 . ...
NAME
Spiral on a 2D square lattice, one term per cell, starting at the origin with 0; the four integers forming any 2 X 2 square show the have all digits 0 --> through 9 (duplicated with duplicate digits in the 2 X 2 square are allowed).
STATUS
proposed
editing
STATUS
editing
proposed
EXAMPLE
. 18———K——19———L——289—54———21——22 A = 3456789
. | | B = 356789
. 208 9———G——10——11———H———13 4056789 C = 306789
. | | | | D = 103789
. 41 F 4———B——24———5 42 26 E = 45679
. | | | | | | F = 35679
. 23 80 12 0———1 C 14 305789 G = 1028
. | | | | | | | H = 306798
. 17 E 3———A———2 45 20 36 I = 3589
. | | | | . J = 20359
. J 8——102——7———D———6 13789 . K = 34567
. | | . L= 34576
. 16——467——I——46——25——204——15 . ...
LINKS
Jean-Marc Falcoz, <a href="/A337368/b337368.txt">Table of n, a(n) for n = 1..3907</a>
EXAMPLE
208 9———G——10——11———H———13 4056789 C = 306789
J 8——102——7———D———6 13789 . K = 34567
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed