A091391 Aronson's mod 17 sequence: "T is the first, fourth, eleventh, sixteenth, seventh, ... letter in this sentence, not counting spaces and commas and all mod 17".

1, 4, 11, 16, 7, 12, 16, 6, 8, 13, 1, 5, 10, 16, 1, 5, 9, 15, 2, 4, 7, 12, 16, 5, 9, 14, 2, 6, 1, 8, 10, 15, 3, 7, 12, 0, 6, 10, 4, 10, 15, 0, 3, 8, 12, 14, 7, 9, 14, 3, 8, 10, 13, 2, 4, 7, 12, 16, 5, 7, 16, 1, 6, 12, 16, 6, 11, 0, 4, 6, 15, 0, 3, 5, 9, 13, 8, 15, 0, 5, 10, 14, 2, 9, 14, 1, 7, 11

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 17 (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

Table of n, a(n) for n=0..87.

B. 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

Cf. A005224, A091387, A091388, A091389, A091390.

Sequence in context: A320494 A190509 A022131 * A135105 A330338 A193587

Adjacent sequences: A091388 A091389 A091390 * A091392 A091393 A091394

Keyword

easy,nonn,word

Author

Sam Alexander, Jan 05 2004

Status

approved