A091389 -id:A091389 - cp's OEIS frontend

A091387 Aronson's mod 13 sequence: "T is the first, fourth, eleventh, third, ... letter in this sentence, not counting spaces or commas and all mod 13".

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

Offset: 0

Sam Alexander, Jan 05 2004

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 13 (2 is important because "second" is the only T-less word)

A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

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.

Cf. A005224, A091388, A091389, A091390, A091391.

A091388 Aronson's mod 14 sequence: "T is the first, fourth, eleventh, third,... letter in this sentence, not counting spaces and commas and all mod 14".

Original entry on oeis.org

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

Offset: 0

Sam Alexander, Jan 05 2004

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 14 (2 is important because "second" is the only T-less word)

Is this the same as A091387? - R. J. Mathar, Aug 27 2025

A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

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.

Cf. A005224, A091387, A091389, A091390, A091391.

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".

Original entry on oeis.org

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

Sam Alexander, Jan 05 2004

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)

A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

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.

Cf. A005224, A091387, A091388, A091389, A091391.

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".

Original entry on oeis.org

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

Sam Alexander, Jan 05 2004

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)

A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

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.

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

cp's OEIS Frontend

A091387 Aronson's mod 13 sequence: "T is the first, fourth, eleventh, third, ... letter in this sentence, not counting spaces or commas and all mod 13".

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A091388 Aronson's mod 14 sequence: "T is the first, fourth, eleventh, third,... letter in this sentence, not counting spaces and commas and all mod 14".

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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".

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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".

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Author

Keywords

Comments

References

Links

Crossrefs