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A335174
Herscovici's array for S_d lexicodes, read by antidiagonals.
0
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 2, 4, 1, 1, 5, 6, 6, 5, 1, 1, 6, 7, 2, 7, 6, 1, 1, 7, 5, 16, 16, 5, 7, 1, 1, 8, 4, 17, 2, 17, 4, 8, 1, 1, 9, 13, 21, 19, 19, 21, 13, 9, 1, 1, 10, 12, 18, 26, 2, 26, 18, 12, 10, 1, 1, 11, 14, 5, 9, 27, 27, 9, 5, 14, 11, 1, 1, 12, 15, 19, 29, 58, 23, 58, 29, 19, 15, 12, 1
OFFSET
1,5
COMMENTS
For the somewhat complicated definition see the Conway article.
LINKS
J. H. Conway, Integral lexicographic codes, Discrete Mathematics 83.2-3 (1990): 219-235. See Table 5.
EXAMPLE
The initial rows of the array are:
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20],
[1,3,2,6,7,5,4,13,12,14,15,11,10,8,9,24,25,27,26,30],
[1,4,6,2,16,17,21,18,5,19,33,32,37,38,40,15,27,127,250,256],
[1,5,7,16,2,19,26,9,29,37,95,256],
[1,6,5,17,19,2,27,58,109,138,256],
[1,7,4,21,26,27,23,256],
[1,8,13,18,9,58,256],
[1,9,12,5,29,109],
[1,10,14,19,37,138],
[1,11,15,33,95,256],
[1,12,11,32,256],
[1,13,10,37],
[1,14,8,38],
[1,15,9,40],
[1,16,24,15],
[1,17,25,27],
[1,18,27,127],
[1,19,26,250],
[1,20,30,256],
...
The initial antidiagonals are:
[1]
[1, 1]
[1, 2, 1]
[1, 3, 3, 1]
[1, 4, 2, 4, 1]
[1, 5, 6, 6, 5, 1]
[1, 6, 7, 2, 7, 6, 1]
[1, 7, 5, 16, 16, 5, 7, 1]
[1, 8, 4, 17, 2, 17, 4, 8, 1]
[1, 9, 13, 21, 19, 19, 21, 13, 9, 1]
[1, 10, 12, 18, 26, 2, 26, 18, 12, 10, 1]
...
CROSSREFS
Sequence in context: A125605 A110570 A341314 * A082905 A141524 A192650
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Jun 12 2020
STATUS
approved