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.

Showing 1-9 of 9 results.

A082315 Permutation A057501 applied twice ("squared").

Original entry on oeis.org

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

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Author

Antti Karttunen, Apr 17 2003, Proposed by Wouter Meeussen

Keywords

Links

Crossrefs

Inverse of A082316. a(n) = A082313(A057164(n)). Occurs in A073200 as row 34359740687. Cf. also A082317-A082324.
Number of cycles: A054357. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Formula

a(n) = A057501(A057501(n)).

A082316 Permutation A057502 applied twice ("squared").

Original entry on oeis.org

0, 1, 2, 3, 4, 8, 5, 7, 6, 9, 21, 10, 20, 19, 11, 22, 12, 17, 16, 13, 18, 14, 15, 23, 58, 24, 57, 56, 25, 59, 26, 54, 53, 27, 55, 51, 52, 28, 62, 29, 61, 60, 30, 63, 31, 45, 44, 32, 46, 42, 43, 33, 64, 34, 48, 47, 35, 49, 37, 38, 36, 50, 39, 40, 41, 65, 170, 66, 169, 168
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003, Proposed by Wouter Meeussen

Keywords

Links

Crossrefs

Inverse of A082315. a(n) = A057164(A082313(n)). Occurs in A073200 as row 549755978251. Cf. also A082317-A082324.
Number of cycles: A054357. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Formula

a(n) = A057502(A057502(n))

A082317 Permutation A057501 applied thrice ("cubed").

Original entry on oeis.org

0, 1, 3, 2, 7, 5, 6, 4, 8, 17, 20, 12, 10, 15, 16, 19, 11, 9, 14, 22, 21, 18, 13, 45, 48, 54, 57, 61, 31, 34, 26, 24, 29, 40, 38, 43, 52, 44, 47, 53, 56, 60, 30, 33, 25, 23, 28, 39, 37, 42, 51, 63, 64, 59, 58, 62, 50, 49, 46, 55, 36, 35, 32, 27, 41, 129, 132, 138, 141, 145
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082318. Occurs in A073200 as row 11150372599265311570767859136464952601119119. Cf. also A082319-A082324.

Formula

a(n) = A057501(A082315(n))

A082321 Permutation A057501 applied five times ("^5").

Original entry on oeis.org

0, 1, 3, 2, 7, 6, 8, 4, 5, 17, 12, 16, 11, 22, 18, 13, 14, 9, 21, 15, 10, 20, 19, 45, 54, 31, 26, 40, 44, 53, 30, 25, 39, 63, 59, 50, 36, 46, 55, 32, 27, 41, 42, 51, 28, 23, 37, 62, 58, 49, 35, 43, 52, 29, 24, 38, 61, 57, 48, 34, 60, 56, 47, 33, 64, 129, 138, 157, 166, 180
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082322. Occurs in A073200. Cf. also A082323-A082324.

Formula

a(n) = A082315(A082317(n))

A082319 Permutation A057501 applied four times ("^4"), permutation A082315 squared.

Original entry on oeis.org

0, 1, 2, 3, 4, 8, 5, 7, 6, 9, 14, 21, 18, 13, 10, 15, 20, 17, 12, 19, 16, 11, 22, 23, 28, 37, 42, 51, 58, 62, 49, 46, 55, 35, 32, 27, 41, 24, 29, 38, 43, 52, 57, 61, 48, 45, 54, 34, 31, 26, 40, 56, 60, 47, 44, 53, 33, 30, 25, 39, 64, 63, 59, 50, 36, 65, 70, 79, 84, 93
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082320. Occurs in A073200. Cf. also A082321-A082324.

Formula

a(n) = A082315(A082315(n))

A082323 Permutation A057501 applied six times ("^6"), permutation A082317 squared, permutation A082315 cubed.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 21, 10, 20, 19, 11, 22, 12, 17, 16, 13, 18, 14, 15, 23, 37, 58, 49, 35, 24, 38, 57, 48, 34, 56, 47, 33, 64, 25, 39, 59, 50, 36, 26, 40, 54, 45, 31, 53, 44, 30, 63, 27, 41, 55, 46, 32, 51, 42, 28, 62, 52, 43, 29, 61, 60, 65, 79, 107, 121, 149
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082324. a(n) = A057501(A082321(n)). Occurs in A073200.

Formula

a(n) = A082317(A082317(n)) = A082315(A082315(A082315(n)))

A082318 Permutation A057502 applied thrice ("cubed").

Original entry on oeis.org

0, 1, 3, 2, 7, 5, 6, 4, 8, 17, 12, 16, 11, 22, 18, 13, 14, 9, 21, 15, 10, 20, 19, 45, 31, 44, 30, 63, 46, 32, 42, 28, 62, 43, 29, 61, 60, 48, 34, 47, 33, 64, 49, 35, 37, 23, 58, 38, 24, 57, 56, 50, 36, 39, 25, 59, 40, 26, 54, 53, 41, 27, 55, 51, 52, 129, 87, 128, 86, 189
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082317. Occurs in A073200 as row 730750818665451459101842418728548123849399632523. Cf. also A082319-A082324.

Formula

a(n) = A057502(A082316(n))

A082322 Permutation A057502 applied five times ("^5").

Original entry on oeis.org

0, 1, 3, 2, 7, 8, 5, 4, 6, 17, 20, 12, 10, 15, 16, 19, 11, 9, 14, 22, 21, 18, 13, 45, 54, 31, 26, 40, 44, 53, 30, 25, 39, 63, 59, 50, 36, 46, 55, 32, 27, 41, 42, 51, 28, 23, 37, 62, 58, 49, 35, 43, 52, 29, 24, 38, 61, 57, 48, 34, 60, 56, 47, 33, 64, 129, 157, 87, 73, 115
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082321. Occurs in A073200. Cf. also A082323-A082324.

Formula

a(n) = A082316(A082318(n))

A082320 Permutation A057502 applied four times ("^4"), permutation A082316 squared.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 8, 7, 5, 9, 14, 21, 18, 13, 10, 15, 20, 17, 12, 19, 16, 11, 22, 23, 37, 58, 49, 35, 24, 38, 57, 48, 34, 56, 47, 33, 64, 25, 39, 59, 50, 36, 26, 40, 54, 45, 31, 53, 44, 30, 63, 27, 41, 55, 46, 32, 51, 42, 28, 62, 52, 43, 29, 61, 60, 65, 107, 170, 142, 100
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082319. Occurs in A073200. Cf. also A082321-A082324.

Formula

a(n) = A082316(A082316(n))
Showing 1-9 of 9 results.

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