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.

Previous Showing 11-17 of 17 results.

A269386 Permutation of nonnegative integers: a(1) = 0, a(2) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A269380(2n+1)).

Original entry on oeis.org

0, 1, 3, 2, 7, 6, 15, 4, 5, 14, 31, 12, 63, 30, 13, 8, 127, 10, 11, 28, 9, 62, 255, 24, 511, 126, 29, 60, 1023, 26, 23, 16, 25, 254, 27, 20, 2047, 22, 61, 56, 4095, 18, 8191, 124, 17, 510, 16383, 48, 19, 1022, 21, 252, 32767, 58, 47, 120, 57, 2046, 55, 52, 65535, 46, 125, 32, 59, 50, 131071, 508, 49, 54, 262143, 40, 95, 4094, 253, 44
Offset: 1

Views

Author

Antti Karttunen, Mar 01 2016

Keywords

Comments

Note the indexing: Domain starts from 1, range from 0.

Links

Crossrefs

Inverse: A269385.
Cf. A269380.
Related permutations: A260742, A269172, A269388.
Cf. also A252756, A269376.
Differs from A243071 and A252756 for the first time at n=19, which here a(19) = 11, instead of 255.

Formula

a(1) = 0, a(2) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A269380(2n+1)).
As a composition of related permutations:
a(n) = A252756(A269172(n)).
a(n) = A269376(A260742(n)).

A269866 Permutation of natural numbers: a(1) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A268674(2n+1)-1).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 9, 8, 7, 10, 13, 12, 21, 18, 11, 16, 25, 14, 33, 20, 19, 26, 29, 24, 17, 42, 15, 36, 53, 22, 73, 32, 27, 50, 37, 28, 45, 66, 43, 40, 57, 38, 81, 52, 23, 58, 77, 48, 49, 34, 51, 84, 117, 30, 41, 72, 67, 106, 169, 44, 213, 146, 39, 64, 85, 54, 89, 100, 59, 74, 109, 56, 149, 90, 35, 132, 101, 86, 113, 80, 31
Offset: 1

Views

Author

Antti Karttunen, Mar 12 2016

Keywords

Links

Crossrefs

Inverse: A269865.
Cf. A268674.
Related or similar permutations: A269867, A249813, A252756, A270196.
Differs from similarly constructed A246376 for the first time at n=21, where a(21) = 19, instead of 15.

Formula

a(1) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A268674(2n+1)-1).

A269376 Permutation of nonnegative integers: a(1) = 0, a(2) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A269370(2n+1)).

Original entry on oeis.org

0, 1, 3, 2, 5, 6, 7, 4, 15, 10, 13, 12, 31, 14, 63, 8, 9, 30, 11, 20, 127, 26, 21, 24, 255, 62, 23, 28, 25, 126, 511, 16, 1023, 18, 29, 60, 2047, 22, 27, 40, 17, 254, 4095, 52, 47, 42, 61, 48, 8191, 510, 16383, 124, 41, 46, 95, 56, 55, 50, 53, 252, 19, 1022, 32767, 32, 49, 2046, 65535, 36, 131071, 58, 125, 120
Offset: 1

Views

Author

Antti Karttunen, Mar 01 2016

Keywords

Comments

Note the indexing: Domain starts from 1, range from 0.

Links

Crossrefs

Inverse: A269375.
Cf. A269370.
Related permutation: A269378.
Cf. also A252756, A269386.

Formula

a(1) = 0, a(2) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A269370(2n+1)).
As a composition of related permutations:
a(n) = A269386(A260741(n)).

A269852 Permutation of natural numbers: a(1) = 0, after which, a(2n) = A087686(1+a(n)), a(2n+1) = A088359(a(A268674(2n+1))).

Original entry on oeis.org

0, 1, 3, 2, 6, 7, 11, 4, 5, 14, 20, 15, 37, 26, 13, 8, 70, 12, 135, 30, 9, 47, 264, 31, 10, 85, 25, 57, 521, 29, 1034, 16, 28, 156, 23, 27, 2059, 292, 46, 62, 4108, 21, 8205, 105, 17, 557, 16398, 63, 19, 24, 22, 191, 32783, 56, 18, 120, 55, 1079, 65552, 61, 131089, 2114, 84, 32, 44, 60, 262162, 348, 59, 53
Offset: 1

Views

Author

Antti Karttunen, Mar 07 2016

Keywords

Comments

Note the indexing: Domain starts from 1, range from 0.

Links

Crossrefs

Inverse: A269851.
Cf. A004001, A087686, A088359, A268674.
Related or similar permutations: A252756, A267112, A269856.

Formula

a(1) = 0; after which, for even n, a(n) = A087686(1+a(n/2)), and for odd n, a(n) = A088359(a(A268674(n))).
Other identities. For all n >= 1:
a(2^n) = 2^(n-1).
As a composition of other permutations:
a(n) = A267112(A252756(n)).

A269856 Permutation of natural numbers: a(1) = 0, a(2) = 1, a(2n) = A001969(1+a(n)), a(2n+1) = A000069(1+a(A268674(2n+1))).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 8, 6, 7, 9, 16, 10, 32, 17, 11, 12, 64, 15, 128, 18, 13, 33, 256, 20, 14, 65, 19, 34, 512, 23, 1024, 24, 21, 129, 22, 30, 2048, 257, 35, 36, 4096, 27, 8192, 66, 25, 513, 16384, 40, 28, 29, 31, 130, 32768, 39, 26, 68, 37, 1025, 65536, 46, 131072, 2049, 67, 48, 38, 43, 262144, 258, 41, 45, 524288, 60
Offset: 1

Views

Author

Antti Karttunen, Mar 07 2016

Keywords

Comments

Note the indexing: Domain starts from 1, range from 0.

Links

Crossrefs

Inverse: A269855.
Cf. A000069, A001969, A268674.
Related or similar permutations: A003188, A252756, A269852.

Formula

a(1) = 0, a(2) = 1, a(2n) = A001969(1+a(n)), a(2n+1) = A000069(1+a(A268674(2n+1))).
As a composition of other permutations:
a(n) = A003188(A252756(n)).

A269858 Permutation of natural numbers: a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A268674(2n+1))).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 11, 8, 7, 9, 31, 10, 127, 18, 13, 14, 709, 12, 5381, 15, 19, 45, 52711, 16, 17, 165, 23, 27, 648391, 21, 9737333, 22, 29, 856, 41, 20, 174440041, 6185, 61, 24, 3657500101, 28, 88362852307, 63, 43, 58644, 2428095424619, 25, 59, 26, 37, 212, 75063692618249, 34, 67, 39, 47
Offset: 1

Views

Author

Antti Karttunen, Mar 06 2016

Keywords

Comments

Terms for prime positions copied from A007097.

Links

Crossrefs

Inverse: A269857.
Cf. A000040, A007097, A065090, A268674.
Related or similar permutations: A237739, A252756, A269848.

Formula

a(1) = 1, a(2) = 2, for n > 2, if n is even, a(n) = A002808(a(n/2)-1), and for odd n, a(n) = A000040(a(A268674(n))).
As a composition of other permutations:
a(n) = A237739(A252756(n)).
Other identities. For all n >= 1:
a(A000040(n)) = A007097(n). [Maps primes to the primeth recurrence.]

A279349 a(1) = 1, for n > 1, if n is even, a(n) = A055938(a(n/2)), otherwise a(n) = A005187(a(A268674(n))).

Original entry on oeis.org

1, 2, 3, 5, 4, 6, 7, 12, 8, 9, 11, 13, 19, 14, 10, 27, 35, 17, 67, 20, 22, 24, 131, 28, 15, 40, 16, 29, 259, 21, 515, 58, 23, 72, 18, 36, 1027, 136, 25, 43, 2051, 45, 4099, 51, 50, 264, 8195, 59, 26, 30, 32, 83, 16387, 33, 41, 60, 38, 520, 32771, 44, 65539, 1032, 46, 121, 31, 48, 131075, 147, 53, 37, 262147, 75, 524291, 2056, 78, 275, 34, 52
Offset: 1

Views

Author

Antti Karttunen, Dec 12 2016

Keywords

Links

Crossrefs

Inverse: A279348.
Cf. A005187, A055938, A268674.
Related or similar permutations: A250246, A252754, A252756, A279339, A279342, A279344.

Programs

Formula

a(1) = 1, for n > 1, if n is even, a(n) = A055938(a(n/2)), otherwise a(n) = A005187(a(A268674(n))).
As a composition of other permutations:
a(n) = A279339(A250246(n)).
a(n) = A279344(A252754(n)).
a(n) = A279342(A252756(n)).
Previous Showing 11-17 of 17 results.

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