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A137317
Array T(n,m) = 1 + (n+m-2) mod 26, 1 <= n,m <= 26, read by rows or columns.
2
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
OFFSET
1,2
COMMENTS
The pattern arises if one assigns numbers A=1 up to Z=26 to the letters in the 26 X 26 Vigenere square, which contains A to Z in the first row and circular shifts in the follow-up rows (that is, B..Z,A in the 2nd, C...Z,A,B in the 3rd etc.).
REFERENCES
Blaise de Vigenere, Traicte des chiffres ou secretes manieres d'ecrire. Paris. Abel L'Angelier (1586). Section 343, (1)ff, "Separated illustrations". Based on Bellaso, 1553.
LINKS
Nathaniel Johnston, Rows 1..26, flattened (full sequence)
EXAMPLE
The array begins:
1 2 3 4 5 6 7 8 9 10 ...
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
7 8 9 10 11 12 13 14 15 16
8 9 10 11 12 13 14 15 16 17
...
MAPLE
for n from 1 to 26 do seq(1 + ((n+m-2) mod 26), m=1..26); od; # Nathaniel Johnston, Jun 23 2011
MATHEMATICA
Flatten[Table[1+Mod[n+m-2, 26], {n, 10}, {m, 26}]] (* Harvey P. Dale, Feb 05 2012 *)
CROSSREFS
Sequence in context: A295886 A318893 A338497 * A308702 A326200 A094759
KEYWORD
nonn,tabf,less,fini,full,word
AUTHOR
Paul Curtz, Apr 06 2008
EXTENSIONS
Edited by R. J. Mathar, Aug 06 2008
STATUS
approved