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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A069776 Permutation of natural numbers induced by the automorphism gma069776! acting on the parenthesizations encoded by A014486.

Original entry on oeis.org

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

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Author

Antti Karttunen, Apr 16 2002

Keywords

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Inverse of A069775. a(n) = A057163(A057510(A057163(n))) = A069770(A069774(n)). Cf. also A069787, A072797.
Number of cycles: A003239. Number of fixed points: A034731. Max. cycle size: A028310. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

A073194 Permutation of natural numbers induced by the Catalan bijection gmA073194 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 11, 14, 16, 19, 17, 20, 10, 12, 15, 21, 13, 18, 22, 23, 25, 28, 30, 33, 37, 39, 42, 44, 47, 51, 53, 56, 60, 45, 48, 54, 57, 61, 26, 27, 24, 31, 34, 38, 40, 43, 52, 58, 62, 32, 35, 41, 46, 29, 49, 55, 63, 36, 50, 59, 64, 65, 67, 70, 72, 75, 79, 81
Offset: 0

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Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073195. The car/cdr-flipped conjugate of A073205, i.e. A073194(n) = A057163(A073205(A057163(n))). Cf. also A073196-A073199.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A073199 Permutation of natural numbers induced by the Catalan bijection gmA073199 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 16, 12, 17, 20, 10, 18, 11, 14, 15, 13, 19, 21, 22, 23, 44, 31, 42, 53, 30, 43, 26, 45, 49, 34, 54, 57, 61, 24, 47, 32, 46, 55, 25, 48, 28, 37, 38, 29, 39, 40, 41, 27, 50, 33, 51, 52, 35, 56, 58, 59, 36, 60, 62, 63, 64, 65, 126, 87, 128, 156, 68
Offset: 0

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073198. The car/cdr-flipped conjugate of A073210, i.e. A073199(n) = A057163(A073210(A057163(n))). Cf. also A073194-A073197.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A073205 Permutation of natural numbers induced by the Catalan bijection gmA073205 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 12, 17, 16, 18, 10, 21, 11, 14, 15, 13, 19, 20, 22, 23, 26, 31, 30, 32, 45, 57, 44, 42, 43, 46, 47, 48, 50, 24, 35, 49, 56, 63, 25, 58, 28, 37, 38, 29, 39, 40, 41, 27, 59, 33, 51, 52, 34, 53, 54, 55, 36, 60, 61, 62, 64, 65, 68, 73, 72, 74, 87, 99
Offset: 0

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073206. The car/cdr-flipped conjugate of A073194, i.e. A073205(n) = A057163(A073194(A057163(n))). Cf. also A073207-A073210.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A073210 Permutation of natural numbers induced by the Catalan bijection gmA073210 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

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

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073209. The car/cdr-flipped conjugate of A073199, i.e. A073210(n) = A057163(A073199(A057163(n))). Cf. also A073205-A073208.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A082340 Permutation of natural numbers induced by the Catalan bijection gma082340 acting on the parenthesizations encoded by A014486/A063171.

Original entry on oeis.org

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

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Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082339. Occurs in A073200 as row 1798. Cf. also A072797, A082337-A082341.
Max. cycle size and LCMs of cycle sizes: A016116 (to be checked). (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

A073197 Permutation of natural numbers induced by the Catalan bijection gmA073197 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

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

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073196. The car/cdr-flipped conjugate of A073208, i.e. A073197(n) = A057163(A073208(A057163(n))). Cf. also A073194-A073199.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A073207 Permutation of natural numbers induced by the Catalan bijection gmA073207 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 11, 17, 16, 20, 12, 18, 10, 14, 15, 13, 19, 21, 22, 23, 31, 28, 24, 33, 45, 49, 44, 42, 43, 54, 53, 57, 61, 30, 29, 46, 47, 55, 25, 48, 26, 37, 40, 32, 38, 39, 41, 34, 50, 27, 51, 52, 35, 56, 58, 59, 36, 60, 62, 63, 64, 65, 84, 87, 73, 96, 79, 81
Offset: 0

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073208. The car/cdr-flipped conjugate of A073196, i.e. A073207(n) = A057163(A073196(A057163(n))). Cf. also A073205-A073210.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A073208 Permutation of natural numbers induced by the Catalan bijection gmA073208 acting on the parenthesizations as ordered by A014486.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 16, 10, 14, 19, 17, 18, 12, 11, 15, 20, 13, 21, 22, 23, 26, 42, 44, 53, 25, 38, 37, 24, 47, 27, 51, 56, 60, 45, 48, 49, 46, 50, 31, 32, 30, 28, 39, 40, 43, 29, 52, 54, 55, 34, 33, 41, 57, 35, 58, 59, 61, 36, 62, 63, 64, 65, 126, 73, 72, 76, 121
Offset: 0

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Is there an equivalent Catalan bijection in A073200?

Links

Crossrefs

Inverse permutation: A073207. The car/cdr-flipped conjugate of A073197, i.e. A073208(n) = A057163(A073197(A057163(n))). Cf. also A073205-A073210.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

A082341 Permutation of natural numbers induced by the Catalan bijection gma082341 acting on the parenthesizations encoded by A014486/A063171.

Original entry on oeis.org

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

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Comments

This is A057163-conjugate of A073285.

Links

Crossrefs

Inverse of A082342. a(n) = A057163(A073285(A057163(n))). Occurs in A073200 as row 1800. Cf. also A072797, A082337-A082339.
Differs from A082326 first time at n=39: a(39)=48, while A082326(39)=49.
Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).
Previous Showing 11-20 of 32 results. Next

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