A130371 -id:A130371 - cp's OEIS frontend

A130370 Signature permutation of a Catalan automorphism: inverse of *A130369.

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

Offset: 0

Antti Karttunen, Jun 05 2007

nonn

Inverse: A130369. a(n) = A130371(A074686(n)) = A074686(A130375(n)). The number of cycles, number of fixed points, maximum cycle sizes and LCM's of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A130377, LEFT(A019590), A130378 and A130379.

A130372 Signature permutation of a Catalan automorphism: apply *A074686 to the last subtree, if the root degree (A057515(n)) is odd.

Original entry on oeis.org

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

Offset: 0

Antti Karttunen, Jun 05 2007

nonn

Inverse: A130371. a(n) = A074686(A130369(n)) = A074686(A130376(A074685(n))) = A130370(A130376(A130369(n))).

A130375 Signature permutation of a Catalan automorphism: apply *A074685 after the first nil on the top-level of list, if any present, otherwise leave the structure intact.

Original entry on oeis.org

0, 1, 2, 3, 5, 4, 6, 7, 8, 11, 12, 13, 10, 9, 14, 15, 16, 17, 18, 19, 20, 21, 22, 29, 28, 30, 31, 32, 33, 34, 35, 25, 26, 36, 27, 24, 23, 38, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 81, 82, 83, 80, 79, 85, 84

Offset: 0

Antti Karttunen, Jun 05 2007

nonn

Inverse: A130376. a(n) = A074685(A130370(n)) = A074685(A130371(A074686(n))) = A130369(A130371(A130370(n))).

cp's OEIS Frontend

A130370 Signature permutation of a Catalan automorphism: inverse of *A130369.

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A130372 Signature permutation of a Catalan automorphism: apply *A074686 to the last subtree, if the root degree (A057515(n)) is odd.

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Author

Keywords

Links

Crossrefs

A130375 Signature permutation of a Catalan automorphism: apply *A074685 after the first nil on the top-level of list, if any present, otherwise leave the structure intact.

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Author

Keywords

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Crossrefs