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.

A269172 Permutation of natural numbers: a(1) = 1, a(2n) = 2*a(n), a(2n+1) = A250469(a(A269380(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, 25, 20, 21, 22, 19, 24, 23, 26, 27, 28, 29, 30, 49, 32, 33, 34, 35, 36, 31, 50, 39, 40, 37, 42, 41, 44, 45, 38, 43, 48, 55, 46, 51, 52, 47, 54, 121, 56, 57, 58, 77, 60, 53, 98, 63, 64, 65, 66, 59, 68, 69, 70, 61, 72, 169, 62, 75, 100, 67, 78, 85, 80, 81
Offset: 1

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Author

Antti Karttunen, Mar 03 2016

Keywords

Links

Crossrefs

Inverse: A269171.
Cf. A000035, A003309, A008578, A083221, A250469, A260738, A260739, A269380.
Related or similar permutations: A260741, A260742, A269356, A269358, A255422.
Cf. also A269394 (a(3n)/3) and A269396.
Differs from A255408 for the first time at n=38, where a(38) = 50, while A255408(38) = 38.

Formula

a(1) = 1, then after for even n, a(n) = 2*a(n/2), and for odd n, A250469(a(A269380(n))).
a(1) = 1, for n > 1, a(n) = A083221(A260738(n), a(A260739(n))).
As a composition of other permutations:
a(n) = A252755(A269386(n)).
a(n) = A252753(A269388(n)).
Other identities. For all n >= 1:
A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]
a(A003309(n)) = A008578(n). [Maps Ludic numbers to noncomposites.]

A269394 Permutation of natural numbers: a(n) = A269172(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, 49, 38, 39, 40, 41, 42, 43, 44, 37, 46, 47, 48, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 97, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 61, 98, 99, 76, 77, 78, 79, 80, 73, 82, 83, 84, 81
Offset: 1

Views

Author

Antti Karttunen, Mar 03 2016

Keywords

Comments

The first non-fixed term is a(37)=49.

Links

Crossrefs

Inverse: A269393.
Cf. A269172, A269396.

Programs

Formula

a(n) = A269172(3*n) / 3.

A269395 Permutation of natural numbers: a(n) = A269171(A269393(n)) = A269171(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, 23, 20, 21, 22, 25, 24, 19, 26, 27, 28, 29, 30, 37, 32, 33, 34, 35, 36, 45, 46, 39, 40, 43, 42, 47, 44, 31, 50, 53, 48, 41, 38, 51, 52, 61, 54, 49, 56, 57, 58, 67, 60, 89, 74, 63, 64, 65, 66, 77, 68, 69, 70, 83, 72, 81, 90, 85, 92, 59, 78, 91, 80, 79
Offset: 1

Views

Author

Antti Karttunen, Mar 03 2016

Keywords

Comments

Composition of A269171 with a permutation of natural numbers obtained from its trisection.

Links

Crossrefs

Inverse: A269396.
Cf. A269393.
Differs from A255407 and A269171 for the first time at n=37, which here a(37)=45, instead of 41.

Programs

Formula

a(n) = A269171(A269393(n)) = A269171(A269171(3*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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