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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A122289 Signature permutations of FORK-transformations of Catalan automorphisms in table A122201.

Original entry on oeis.org

0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 2, 2, 1, 0, 5, 7, 3, 2, 1, 0, 6, 8, 4, 3, 2, 1, 0, 7, 6, 6, 5, 3, 2, 1, 0, 8, 4, 5, 4, 5, 3, 2, 1, 0, 9, 5, 7, 6, 6, 6, 3, 2, 1, 0, 10, 18, 8, 7, 4, 5, 6, 3, 2, 1, 0, 11, 17, 9, 8, 7, 4, 4, 4, 3, 2, 1, 0, 12, 20, 10, 12, 8, 7, 5, 5, 4, 3, 2, 1, 0, 13, 22, 14, 13, 12
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

Row n is the signature permutation of the Catalan automorphism which is obtained from the n-th automorphism in the table A122201 with the recursion scheme "FORK", or equivalently row n is obtained as FORK(FORK(n-th row of A089840)). See A122201 for the description of FORK. Each row occurs only once in this table. Inverses of these permutations can be found in table A122290.

References

  • A. Karttunen, paper in preparation, draft available by e-mail.

Links

Crossrefs

The known rows of this table: row 0 (identity permutation): A001477, row 1: A122351, row 2: A122363. See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122288.

A122301 Row 1 of A122283, row 21 of A122201.

Original entry on oeis.org

0, 1, 3, 2, 8, 7, 6, 4, 5, 22, 21, 20, 17, 18, 19, 16, 14, 9, 10, 15, 11, 13, 12, 64, 63, 62, 58, 59, 61, 57, 54, 45, 46, 55, 48, 50, 49, 60, 56, 53, 44, 47, 51, 42, 37, 23, 24, 38, 25, 27, 26, 52, 43, 39, 28, 29, 41, 33, 36, 35, 40, 30, 34, 31, 32, 196, 195, 194, 189, 190
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the first non-recursive automorphism *A069770 with recursion schema DEEPEN (see A122283 for the definition), or equivalently, derived from the 21st non-recursive automorphism *A089863 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122302.

A123493 Signature permutation of a Catalan automorphism: row 79361 of table A122201.

Original entry on oeis.org

0, 1, 2, 3, 4, 8, 6, 7, 5, 9, 13, 20, 21, 18, 14, 19, 16, 17, 22, 15, 11, 12, 10, 23, 27, 34, 35, 32, 54, 61, 57, 58, 64, 55, 48, 49, 46, 37, 41, 53, 56, 47, 42, 51, 44, 45, 50, 60, 62, 63, 59, 43, 52, 39, 28, 33, 40, 30, 31, 36, 38, 29, 25, 26, 24, 65, 69, 76, 77, 74, 96
Offset: 0

Views

Author

Antti Karttunen, Oct 11 2006

Keywords

Comments

This is the signature-permutation of Catalan automorphism which is derived from nonrecursive Catalan automorphism *A123492 with the recursion schema FORK (defined in A122201). See further comments at A123494.

Links

Crossrefs

Inverse: A123494. Row 79361 of A122201.

A122353 Row 15 of A122201.

Original entry on oeis.org

0, 1, 3, 2, 7, 8, 6, 5, 4, 18, 17, 20, 21, 22, 16, 19, 15, 12, 13, 14, 11, 10, 9, 49, 50, 48, 46, 45, 55, 54, 57, 59, 58, 61, 62, 63, 64, 47, 44, 53, 56, 60, 43, 52, 40, 32, 31, 41, 34, 35, 36, 42, 51, 39, 30, 33, 38, 29, 26, 27, 37, 28, 25, 24, 23, 143, 142, 146, 147, 148
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the fifteenth non-recursive automorphism *A089859 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122354.

A122349 Row 7 of A122201.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 13, 12, 14, 15, 19, 22, 21, 16, 20, 17, 18, 23, 24, 25, 27, 26, 28, 29, 33, 36, 35, 30, 34, 31, 32, 37, 38, 39, 41, 40, 51, 52, 60, 64, 63, 56, 62, 58, 59, 42, 43, 53, 61, 57, 44, 54, 45, 46, 47, 55, 48, 50, 49, 65, 66, 67, 69, 68, 70, 71
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the seventh non-recursive automorphism *A089854 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122350. Differs from A073289 for the first time at n=63, where a(n)=50, while A073289(n)=49.

A122341 Row 3 of A122201.

Original entry on oeis.org

0, 1, 2, 3, 5, 4, 6, 7, 8, 12, 13, 11, 10, 9, 15, 14, 16, 18, 17, 19, 20, 21, 22, 32, 31, 34, 35, 36, 30, 33, 29, 26, 27, 28, 25, 24, 23, 40, 41, 39, 38, 37, 43, 42, 47, 49, 50, 44, 48, 46, 45, 52, 51, 53, 55, 54, 56, 57, 59, 58, 60, 61, 62, 63, 64, 91, 92, 90, 88, 87, 97, 96
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the third non-recursive automorphism *A089850 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122342.

A122291 Row 10 of A122201.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 8, 7, 6, 9, 10, 13, 12, 11, 21, 20, 22, 17, 18, 19, 16, 14, 15, 23, 24, 27, 26, 25, 35, 34, 36, 31, 32, 33, 30, 28, 29, 58, 59, 57, 54, 55, 64, 61, 63, 45, 46, 62, 50, 49, 48, 56, 53, 60, 44, 47, 51, 42, 37, 38, 52, 43, 41, 40, 39, 65, 66, 69, 68, 67, 77, 76
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the tenth non-recursive automorphism *A089856 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122292.
Cf. A089856, A122201.

A122293 Row 11 of A122201.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 8, 6, 7, 9, 10, 13, 11, 12, 20, 21, 19, 14, 15, 22, 16, 17, 18, 23, 24, 27, 25, 26, 34, 35, 33, 28, 29, 36, 30, 31, 32, 54, 55, 57, 58, 59, 53, 56, 51, 37, 38, 52, 41, 39, 40, 61, 64, 60, 42, 43, 62, 44, 45, 46, 63, 47, 50, 48, 49, 65, 66, 69, 67, 68, 76, 77
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the eleventh non-recursive automorphism *A089857 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122294.

A122295 Row 13 of A122201.

Original entry on oeis.org

0, 1, 3, 2, 6, 7, 8, 5, 4, 15, 14, 16, 18, 17, 19, 22, 20, 11, 12, 21, 13, 10, 9, 39, 40, 41, 38, 37, 43, 42, 47, 48, 49, 44, 50, 46, 45, 52, 51, 60, 62, 63, 53, 61, 55, 29, 28, 54, 30, 32, 31, 56, 64, 57, 33, 36, 59, 34, 25, 26, 58, 35, 27, 24, 23, 113, 112, 114, 116, 115
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the thirteenth non-recursive automorphism *A089858 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122296.

A122297 Row 14 of A122201.

Original entry on oeis.org

0, 1, 3, 2, 8, 6, 7, 5, 4, 22, 20, 19, 15, 14, 21, 16, 18, 13, 11, 17, 12, 10, 9, 64, 62, 61, 55, 54, 60, 53, 52, 41, 39, 51, 40, 38, 37, 63, 57, 56, 43, 42, 59, 47, 50, 36, 34, 48, 33, 29, 28, 58, 44, 49, 35, 30, 46, 32, 27, 25, 45, 31, 26, 24, 23, 196, 194, 193, 185, 184
Offset: 0

Views

Author

Antti Karttunen, Sep 01 2006

Keywords

Comments

The signature-permutation of the automorphism which is derived from the fourteenth non-recursive automorphism *A073269 with recursion schema FORK (see A122201 for the definition).

Links

Crossrefs

Inverse: A122298.
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