A091390 Aronson's mod 16 sequence: "T is the first, fourth, eleventh, zeroth, ... letter in this sentence, not counting spaces or commas and all mod 16".

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

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 16 (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..88.

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, A091391.

Sequence in context: A307491 A356110 A048873 * A321967 A230024 A132150

Adjacent sequences: A091387 A091388 A091389 * A091391 A091392 A091393

Keyword

easy,nonn,word

Author

Sam Alexander, Jan 05 2004

Status

approved