cp's OEIS Frontend

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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A130345 Row 5 of A122203.

Original entry on oeis.org

0, 1, 2, 3, 6, 5, 4, 7, 8, 16, 19, 15, 12, 13, 14, 9, 11, 17, 18, 10, 20, 21, 22, 44, 47, 53, 56, 60, 43, 52, 40, 31, 32, 41, 34, 35, 36, 42, 51, 37, 25, 24, 39, 28, 30, 45, 46, 33, 48, 49, 50, 38, 23, 29, 54, 55, 26, 57, 58, 59, 27, 61, 62, 63, 64, 128, 131, 137, 140, 144
Offset: 0

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Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the fifth non-recursive Catalan automorphism *A089852 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130346.

A130347 Row 6 of A122203.

Original entry on oeis.org

0, 1, 2, 3, 6, 4, 5, 7, 8, 16, 19, 14, 11, 9, 15, 10, 12, 17, 18, 13, 20, 21, 22, 44, 47, 53, 56, 60, 42, 51, 39, 30, 33, 37, 28, 25, 23, 43, 52, 38, 29, 24, 40, 26, 31, 45, 46, 32, 48, 49, 50, 41, 27, 34, 54, 55, 35, 57, 58, 59, 36, 61, 62, 63, 64, 128, 131, 137, 140, 144
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the sixth non-recursive Catalan automorphism *A089853 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130348.

A130351 Row 10 of A122203.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 8, 7, 6, 9, 10, 13, 12, 11, 21, 22, 20, 17, 18, 19, 16, 14, 15, 23, 24, 27, 26, 25, 35, 36, 34, 31, 32, 33, 30, 28, 29, 58, 59, 62, 63, 64, 57, 61, 54, 45, 46, 55, 48, 49, 50, 56, 60, 53, 44, 47, 51, 42, 37, 38, 52, 43, 41, 40, 39, 65, 66, 69, 68, 67, 77, 78
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the tenth non-recursive Catalan automorphism *A089856 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Cf. Differs from its inverse A130352 for the first time at n=39, where a(n)=62, while A130352(39)=64.

A130355 Row 13 of A122203.

Original entry on oeis.org

0, 1, 3, 2, 6, 8, 7, 5, 4, 15, 14, 19, 21, 22, 16, 20, 17, 11, 13, 18, 12, 10, 9, 39, 41, 40, 38, 37, 52, 51, 56, 58, 59, 60, 62, 63, 64, 43, 42, 53, 57, 61, 44, 54, 45, 29, 28, 46, 33, 35, 36, 47, 55, 48, 30, 34, 49, 31, 25, 27, 50, 32, 26, 24, 23, 113, 112, 117, 119, 120
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the thirteenth non-recursive Catalan automorphism *A089858 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130356.
Cf. A122203.

A130357 Row 14 of A122203.

Original entry on oeis.org

0, 1, 3, 2, 7, 6, 8, 5, 4, 17, 18, 16, 15, 14, 20, 19, 21, 12, 11, 22, 13, 10, 9, 45, 46, 48, 49, 50, 44, 47, 43, 40, 39, 42, 41, 38, 37, 54, 55, 53, 52, 51, 57, 56, 58, 31, 32, 59, 30, 29, 28, 61, 60, 62, 34, 33, 63, 35, 26, 25, 64, 36, 27, 24, 23, 129, 130, 132, 133, 134
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the fourteenth non-recursive Catalan automorphism *A073269 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130358.

A130361 Row 16 of A122203.

Original entry on oeis.org

0, 1, 3, 2, 8, 6, 7, 5, 4, 21, 22, 19, 15, 14, 20, 16, 17, 13, 11, 18, 12, 10, 9, 58, 59, 62, 63, 64, 56, 60, 52, 41, 39, 51, 40, 38, 37, 57, 61, 53, 43, 42, 54, 44, 45, 35, 36, 46, 33, 29, 28, 55, 47, 48, 34, 30, 49, 31, 27, 25, 50, 32, 26, 24, 23, 170, 171, 174, 175, 176
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the sixteenth non-recursive Catalan automorphism *A089860 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130362.

A130363 Row 18 of A122203.

Original entry on oeis.org

0, 1, 3, 2, 7, 8, 5, 6, 4, 17, 18, 20, 21, 22, 12, 13, 15, 16, 19, 10, 14, 11, 9, 45, 46, 48, 49, 50, 54, 55, 57, 58, 59, 61, 62, 63, 64, 31, 32, 34, 35, 36, 40, 41, 43, 44, 47, 52, 53, 56, 60, 26, 27, 38, 42, 51, 29, 39, 30, 33, 24, 37, 28, 25, 23, 129, 130, 132, 133, 134
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the eighteenth non-recursive Catalan automorphism *A089861 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130364.

A130365 Row 19 of A122203.

Original entry on oeis.org

0, 1, 3, 2, 7, 8, 4, 5, 6, 17, 18, 20, 21, 22, 10, 11, 9, 12, 13, 14, 15, 16, 19, 45, 46, 48, 49, 50, 54, 55, 57, 58, 59, 61, 62, 63, 64, 26, 27, 29, 30, 33, 23, 28, 24, 31, 32, 25, 34, 35, 36, 38, 39, 37, 40, 41, 42, 43, 44, 47, 51, 52, 53, 56, 60, 129, 130, 132, 133, 134
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the nineteenth non-recursive Catalan automorphism *A073270 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130366.

A130367 Row 20 of A122203.

Original entry on oeis.org

0, 1, 3, 2, 7, 8, 4, 6, 5, 17, 18, 20, 21, 22, 11, 10, 14, 16, 19, 9, 15, 12, 13, 45, 46, 48, 49, 50, 54, 55, 57, 58, 59, 61, 62, 63, 64, 30, 33, 29, 26, 27, 39, 38, 42, 44, 47, 51, 53, 56, 60, 28, 23, 37, 43, 52, 25, 40, 31, 32, 24, 41, 34, 35, 36, 129, 130, 132, 133, 134
Offset: 0

Views

Author

Antti Karttunen, Jun 05 2007

Keywords

Comments

The signature-permutation of the Catalan automorphism which is derived from the twentieth non-recursive Catalan automorphism *A089862 with recursion schema SPINE (see A122203 for the definition).

Crossrefs

Inverse: A130368.

A123717 Signature permutation of a Catalan automorphism: row 253 of table A122203.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 5, 8, 7, 9, 11, 14, 16, 19, 10, 15, 13, 21, 22, 12, 20, 17, 18, 23, 25, 28, 30, 33, 37, 39, 42, 44, 47, 51, 53, 56, 60, 24, 29, 38, 43, 52, 27, 41, 35, 58, 59, 36, 62, 63, 64, 26, 40, 34, 57, 61, 31, 54, 45, 46, 32, 55, 48, 49, 50, 65, 67, 70, 72, 75, 79, 81
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 *A123503 with the recursion schema SPINE (defined in A122203).
The number of fixed points in range [A014137(n-1)..A014138(n-1)] of this permutation begins as 1,1,2,1,3,1,4,1,8,1,16,1,47,..., the LCM of cycle sizes as 1,1,1,2,12,12,120,120,840,840,5040,5040,55440,... (cf. A089423) and the cycle-count sequence seems to be A045629. (To be proved.)

References

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

Crossrefs

Inverse: A123718. a(n) = A057509(A089854(n)). Row 253 of A122203.
Previous Showing 11-20 of 47 results. Next