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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A264975 Permutation of nonnegative integers: a(n) = A264974(A263272(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 19, 16, 9, 10, 7, 12, 13, 14, 15, 46, 43, 18, 55, 20, 57, 58, 17, 48, 49, 52, 27, 28, 11, 30, 31, 8, 21, 22, 25, 36, 37, 34, 39, 40, 41, 42, 127, 124, 45, 136, 47, 138, 139, 44, 129, 130, 133, 54, 163, 56, 165, 166, 59, 60, 181, 178, 171, 172, 169, 174, 175, 50, 51, 154, 151, 144, 145, 142, 147, 148, 53, 156, 157, 160, 81
Offset: 0

Views

Author

Antti Karttunen, Dec 05 2015

Keywords

Links

Crossrefs

Inverse: A264976.
Cf. A000035, A263272, A263273, A264974, A264984.
Cf. also A264991, A264992.

Formula

a(n) = A264974(A263272(n)).
a(n) = A263272(A264984(n)) / 2.
a(n) = (1/4) * A264984(A264984(n)) = (1/4) * A263273(2 * A263273(2*n)).
Other identities. For all n >= 0:
a(3*n) = 3*a(n).
A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]

A265355 Permutation of nonnegative integers: a(n) = A263272(A264985(n)).

Original entry on oeis.org

0, 1, 3, 2, 4, 9, 6, 10, 12, 5, 11, 7, 8, 13, 27, 18, 28, 36, 15, 29, 21, 24, 37, 30, 33, 31, 39, 14, 32, 16, 17, 38, 19, 20, 34, 22, 23, 35, 25, 26, 40, 81, 54, 82, 108, 45, 83, 63, 72, 109, 90, 99, 85, 117, 42, 86, 48, 51, 110, 57, 60, 88, 66, 69, 89, 75, 78, 118, 84, 87, 91, 93, 96, 92, 102, 105, 112, 111, 114, 94, 120, 41
Offset: 0

Views

Author

Antti Karttunen, Dec 07 2015

Keywords

Comments

Composition of permutations obtained from the bisections of A263273.

Links

Crossrefs

Inverse: A265356.
Cf. A263272, A263273, A264985.
Cf. also A265351, A265352, A265353, A265354, A265357, A265358.

Programs

Formula

a(n) = A263272(A264985(n)).

A265356 Permutation of nonnegative integers: a(n) = A264985(A263272(n)).

Original entry on oeis.org

0, 1, 3, 2, 4, 9, 6, 11, 12, 5, 7, 10, 8, 13, 27, 18, 29, 30, 15, 32, 33, 20, 35, 36, 21, 38, 39, 14, 16, 19, 23, 25, 28, 24, 34, 37, 17, 22, 31, 26, 40, 81, 54, 83, 84, 45, 86, 87, 56, 89, 90, 57, 92, 93, 42, 95, 96, 59, 98, 99, 60, 101, 102, 47, 104, 105, 62, 107, 108, 63, 110, 111, 48, 113, 114, 65, 116, 117, 66, 119, 120, 41
Offset: 0

Views

Author

Antti Karttunen, Dec 07 2015

Keywords

Comments

Composition of permutations obtained from the bisections of A263273.

Links

Crossrefs

Inverse: A265355.
Cf. A263272, A263273, A264985.
Cf. also A265351, A265352, A265353, A265354, A265357, A265358.

Programs

Formula

a(n) = A264985(A263272(n)).

A264976 Permutation of nonnegative integers: a(n) = A263272(A264974(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 11, 32, 9, 10, 29, 12, 13, 14, 15, 8, 23, 18, 7, 20, 33, 34, 95, 96, 35, 104, 27, 28, 83, 30, 31, 86, 87, 38, 113, 36, 37, 110, 39, 40, 41, 42, 17, 50, 45, 16, 47, 24, 25, 68, 69, 26, 77, 54, 19, 56, 21, 22, 59, 60, 101, 302, 99, 100, 299, 102, 103, 284, 285, 98, 293, 288, 97, 290, 105, 106, 311, 312, 107, 320, 81
Offset: 0

Views

Author

Antti Karttunen, Dec 05 2015

Keywords

Links

Crossrefs

Inverse: A264975
Cf. A000035, A263272, A263273, A264974.
Cf. also A264991, A264992.

Formula

a(n) = A263272(A264974(n)).
a(n) = (1/2) * A263273(A263273(4*n) / 2).
Other identities. For all n >= 0:
a(3*n) = 3*a(n).
A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]

A264979 Bijective base-9 reverse: a(0) = 0; for n >= 1, a(n) = A030108(n/A264981(n)) * A264981(n).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 28, 37, 46, 55, 64, 73, 18, 11, 20, 29, 38, 47, 56, 65, 74, 27, 12, 21, 30, 39, 48, 57, 66, 75, 36, 13, 22, 31, 40, 49, 58, 67, 76, 45, 14, 23, 32, 41, 50, 59, 68, 77, 54, 15, 24, 33, 42, 51, 60, 69, 78, 63, 16, 25, 34, 43, 52, 61, 70, 79, 72, 17, 26, 35, 44, 53, 62, 71, 80, 81
Offset: 0

Views

Author

Antti Karttunen, Dec 07 2015

Keywords

Comments

Self-inverse permutation of nonnegative integers.
It appears that a(m x) == 0 (mod m) for m = 2^k and m = 5*2^k, k >= 0, but not for other m. Is there a simple explanation? - M. F. Hasler, May 21 2021

Links

Crossrefs

Cf. A030108, A264981.
Cf. A265338 (a(8n)/8).
Cf. A057889 (base-2), A263273 (base-3), A264994 (base-4), A264995 (base-5).

Programs

Formula

a(0) = 0; for n >= 1, a(n) = A030108(n/A264981(n)) * A264981(n).

A264991 Permutation of nonnegative integers: a(n) = A264989(A264985(n)).

Original entry on oeis.org

0, 1, 5, 2, 4, 14, 6, 16, 17, 3, 7, 8, 11, 13, 41, 15, 43, 44, 18, 19, 59, 56, 49, 50, 47, 52, 53, 9, 10, 32, 29, 22, 23, 20, 25, 26, 12, 34, 35, 38, 40, 122, 42, 124, 125, 45, 46, 140, 137, 130, 131, 128, 133, 134, 54, 55, 167, 164, 58, 176, 60, 178, 179, 57, 169, 170, 173, 148, 149, 51, 151, 152, 48
Offset: 0

Views

Author

Antti Karttunen, Dec 05 2015

Keywords

Links

Crossrefs

Inverse: A264992.
Cf. A263273, A264985, A264989.
Cf. also A264975, A264976.

Programs

Formula

a(n) = A264989(A264985(n)).

A264992 Permutation of nonnegative integers: a(n) = A264985(A264989(n)).

Original entry on oeis.org

0, 1, 3, 9, 4, 2, 6, 10, 11, 27, 28, 12, 36, 13, 5, 15, 7, 8, 18, 19, 33, 99, 31, 32, 96, 34, 35, 81, 82, 30, 90, 85, 29, 87, 37, 38, 108, 109, 39, 117, 40, 14, 42, 16, 17, 45, 46, 24, 72, 22, 23, 69, 25, 26, 54, 55, 21, 63, 58, 20, 60, 100, 101, 297, 298, 102, 306, 94, 95, 285, 97, 98, 288
Offset: 0

Views

Author

Antti Karttunen, Dec 05 2015

Keywords

Links

Crossrefs

Inverse: A264991.
Cf. A263273, A264985, A264989.
Cf. also A264975, A264976.

Programs

Formula

a(n) = A264985(A264989(n)).

A264994 Bijective base-4 reverse: a(0) = 0; for n >= 1, a(n) = A030103(A065883(n)) * A234957(n).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 9, 13, 8, 6, 10, 14, 12, 7, 11, 15, 16, 17, 33, 49, 20, 21, 37, 53, 36, 25, 41, 57, 52, 29, 45, 61, 32, 18, 34, 50, 24, 22, 38, 54, 40, 26, 42, 58, 56, 30, 46, 62, 48, 19, 35, 51, 28, 23, 39, 55, 44, 27, 43, 59, 60, 31, 47, 63, 64, 65, 129, 193, 68, 81, 145, 209, 132, 97, 161, 225, 196, 113, 177, 241, 80, 69
Offset: 0

Views

Author

Antti Karttunen, Dec 07 2015

Keywords

Comments

Self-inverse permutation of nonnegative integers.

Links

Crossrefs

Cf. A030103, A065883, A234957.
Cf. A264993 (a(3n)/3), A265335 (a(5n)/5).
Cf. also A057889 (base-2), A263273 (base-3), A264995 (base-5), A264979 (base-9).

Programs

Formula

a(0) = 0; for n >= 1, a(n) = A030103(A065883(n)) * A234957(n).
Other identities. For all n >= 0:
a(4*n) = 4*a(n).

A265331 One-based row index to A265345.

Original entry on oeis.org

1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 7, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 6, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 7, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 4
Offset: 1

Views

Author

Antti Karttunen, Dec 18 2015

Keywords

Links

Crossrefs

One more than A265330.
Cf. A007088, A007089, A263273, A265345, A265352.
Cf. A265911 (corresponding other index).
Differs from A001511 for the first time at n=32, where a(32) = 7, while A001511(32) = 6.

Programs

Formula

a(n) = A001511(A263273(n)).
a(2n+1) = 1, a(2n) = 1 + a(A265352(n)).

A265341 Permutation of odd numbers: a(n) = 1 + (2*A265353(n)).

Original entry on oeis.org

1, 3, 7, 5, 9, 21, 13, 19, 25, 11, 15, 39, 17, 27, 63, 49, 57, 75, 31, 23, 67, 37, 55, 61, 43, 73, 79, 29, 33, 93, 47, 51, 147, 139, 111, 129, 35, 45, 117, 53, 81, 189, 157, 171, 225, 103, 69, 201, 145, 165, 183, 151, 219, 237, 85, 65, 193, 41, 71, 211, 121, 199, 205, 91, 59, 175, 109, 163, 169, 115, 181, 187, 97
Offset: 0

Views

Author

Antti Karttunen, Dec 07 2015

Keywords

Links

Crossrefs

Topmost row of A265345.
Cf. A265353.
Cf. also A265342, A263273.

Programs

Formula

a(n) = 1 + (2*A265353(n)).
Previous Showing 51-60 of 70 results. Next

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