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.

Previous Showing 11-17 of 17 results.

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

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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.

A122350 Row 7 of A122202.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 13, 12, 14, 15, 19, 21, 22, 16, 20, 18, 17, 23, 24, 25, 27, 26, 28, 29, 33, 35, 36, 30, 34, 32, 31, 37, 38, 39, 41, 40, 51, 52, 56, 58, 59, 60, 62, 64, 63, 42, 43, 53, 57, 61, 47, 55, 49, 50, 44, 54, 48, 46, 45, 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 KROF (see A122202 for the definition).

Links

Crossrefs

Inverse: A122349. Differs from A073288 for the first time at n=49, where a(n)=64, while A073288(n)=63.

A123694 a(n) gives the A089840-index of the nonrecursive Catalan automorphism which is formed from A089840[n] by applying it to the left subtree of a binary tree and leaving the right-hand side subtree intact.

Original entry on oeis.org

0, 7, 91, 92, 93, 94, 95, 114, 115, 116, 117, 118, 4207, 4209, 4211, 4214, 4216, 4299, 4301, 4303, 4305, 4307, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1347
Offset: 0

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Author

Antti Karttunen, Oct 11 2006

Keywords

Comments

If the count of fixed points of the automorphism A089840[n] is given by sequence f, then the count of fixed points of the automorphism A089840[A123694(n)] is given by CONV(f,A000108) (where CONV stands for convolution). See also the comments at A122200.

Examples

			When A089840[1] = A069770 (swap binary tree sides) is applied to the left subtree of a binary tree, we get A089840[7] = A089854, thus a(1)=7. When A089840[12] = A074679 is applied to the left subtree of a binary tree, we get A089840[4207] = A089865, thus a(12)=4207.

Links

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

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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.

Links

Crossrefs

Inverse: A123718. a(n) = A057509(A089854(n)). Row 253 of A122203.

A123718 Signature permutation of a Catalan automorphism: row 253 of table A122204.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 5, 8, 7, 9, 14, 10, 19, 16, 11, 15, 12, 21, 22, 13, 20, 17, 18, 23, 37, 24, 51, 42, 25, 38, 26, 56, 60, 27, 53, 44, 47, 28, 39, 29, 52, 43, 30, 40, 31, 58, 59, 32, 62, 63, 64, 33, 41, 34, 57, 61, 35, 54, 45, 46, 36, 55, 48, 49, 50, 65, 107, 66, 149, 121, 67
Offset: 0

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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 ENIPS (defined in A122204). See the comments at A123717.

Links

Crossrefs

Inverse: A123717. a(n) = A089854(A057510(n)). Row 253 of A122204.

A122311 Row 7 of A122283.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 12, 13, 14, 15, 19, 22, 21, 16, 20, 17, 18, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 35, 37, 38, 39, 40, 41, 51, 52, 60, 64, 63, 56, 62, 58, 59, 42, 43, 53, 61, 57, 44, 54, 45, 46, 47, 55, 48, 49, 50, 65, 66, 67, 68, 69, 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 DEEPEN (see A122283 for the definition).

Links

Crossrefs

Inverse: A122312. Differs from A073287 for the first time at n=35, where a(n)=36, while A073287(n)=35.

A122312 Row 7 of A122284.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 12, 13, 14, 15, 19, 21, 22, 16, 20, 18, 17, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 35, 37, 38, 39, 40, 41, 51, 52, 56, 58, 59, 60, 62, 63, 64, 42, 43, 53, 57, 61, 47, 55, 49, 50, 44, 54, 48, 46, 45, 65, 66, 67, 68, 69, 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 NEPEED (see A122284 for the definition).

Links

Crossrefs

Inverse: A122311. Differs from A073286 for the first time at n=35, where a(n)=36, while A073286(n)=35.
Previous Showing 11-17 of 17 results.

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