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 1-3 of 3 results.

A269171 Permutation of natural numbers: a(1) = 1, a(2n) = 2*a(n), a(2n+1) = A269379(a(A268674(2n+1))).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 23, 20, 21, 22, 25, 24, 19, 26, 27, 28, 29, 30, 37, 32, 33, 34, 35, 36, 41, 46, 39, 40, 43, 42, 47, 44, 45, 50, 53, 48, 31, 38, 51, 52, 61, 54, 49, 56, 57, 58, 67, 60, 71, 74, 63, 64, 65, 66, 77, 68, 69, 70, 83, 72, 89, 82, 75, 92, 59, 78, 91, 80, 81, 86, 97, 84, 79, 94, 87, 88, 107, 90, 85, 100
Offset: 1

Views

Author

Antti Karttunen, Mar 03 2016

Keywords

Links

Crossrefs

Inverse: A269172.
Cf. A000035, A003309, A008578, A055396, A078898, A268674, A255127, A269379.
Related or similar permutations: A260741, A260742, A269355, A269357, A255421, A252754, A252756, A269385, A269387.
Cf. also A269393 (a(3n)/3) and A269395.
Differs from A255407 for the first time at n=38, where a(38) = 46, while A255407(38) = 38.

Formula

a(1) = 1, then after for even n, a(n) = 2*a(n/2), and for odd n, a(n) = A269379(a(A268674(n))).
a(1) = 1, for n > 1, a(n) = A255127(A055396(n), a(A078898(n))).
As a composition of other permutations:
a(n) = A269385(A252756(n)).
a(n) = A269387(A252754(n)).
Other identities. For all n >= 1:
A000035(a(n)) = A000035(n). [Preserves the parity of n.]
a(A008578(n)) = A003309(n). [Maps noncomposites to Ludic numbers.]

A269393 Permutation of natural numbers: a(n) = A269171(3*n) / 3.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 45, 38, 39, 40, 41, 42, 43, 44, 49, 46, 47, 48, 37, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 73, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 81, 90, 91, 76, 77, 78, 79, 80, 85
Offset: 1

Views

Author

Antti Karttunen, Mar 03 2016

Keywords

Comments

The first non-fixed term is a(37)=45.

Links

Crossrefs

Inverse: A269394.
Cf. A269171, A269395.

Programs

Formula

a(n) = A269171(3*n) / 3.

A269396 Permutation of natural numbers: a(n) = A269394(A269172(n)) = A269172(3*A269172(n)) / 3.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 25, 20, 21, 22, 19, 24, 23, 26, 27, 28, 29, 30, 45, 32, 33, 34, 35, 36, 31, 50, 39, 40, 49, 42, 41, 44, 37, 38, 43, 48, 55, 46, 51, 52, 47, 54, 105, 56, 57, 58, 77, 60, 53, 90, 63, 64, 65, 66, 59, 68, 69, 70, 97, 72, 181, 62, 99, 100, 67, 78, 81, 80, 73
Offset: 1

Views

Author

Antti Karttunen, Mar 03 2016

Keywords

Comments

Composition of A269172 with a permutation of natural numbers obtained from its trisection.

Links

Crossrefs

Inverse: A269395.
Cf. A269394.
Differs from A255408 and A269172 for the first time at n=31, which here a(31)=45, instead of 49.

Programs

Formula

a(n) = A269394(A269172(n)) = A269172(3*A269172(n)) / 3.
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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