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A091389
Aronson's mod 15 sequence: "T is the first, fourth, eleventh, first, ... letter in this sentence, not counting spaces and commas and all mod 15".
4
1, 4, 11, 1, 9, 0, 4, 10, 1, 3, 6, 12, 13, 6, 8, 13, 0, 4, 8, 13, 4, 6, 10, 14, 5, 11, 2, 4, 8, 12, 3, 8, 10, 13, 4, 8, 13, 6, 3, 9, 11, 1, 3, 12, 14, 2, 4, 8, 12, 3, 9, 11, 0, 4, 9, 11, 4, 12, 3, 4, 9, 14, 5, 9, 6, 12, 14, 4, 6, 14, 7, 13, 4, 9, 2, 8, 10, 0, 2, 11, 1, 7, 11, 1, 6, 11, 13, 3, 9, 13
OFFSET
0,2
COMMENTS
Infinite? Periodic? It seems the answers are "Yes and No" because many numbers (such as "tenth") have multiple T's and moreover, in many of these, the T's are spread such that at least one of them will be != 2 mod 15 (2 is important because "second" is the only T-less word)
REFERENCES
A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.
LINKS
Benoit Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.
CROSSREFS
KEYWORD
easy,nonn,word
AUTHOR
Sam Alexander, Jan 05 2004
STATUS
approved