A269390 -id:A269390 - cp's OEIS frontend

A269391 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = 2a(n), a(A269390(n)) = 1 + 2a(n), where A233271 is the infinite trunk of inverted binary beanstalk and A269390 is its complement.

1, 2, 3, 4, 5, 7, 6, 8, 9, 11, 15, 10, 13, 17, 14, 12, 19, 23, 31, 21, 16, 27, 35, 18, 29, 25, 39, 22, 47, 63, 30, 20, 43, 33, 55, 71, 37, 26, 59, 51, 79, 34, 45, 95, 127, 28, 61, 41, 24, 87, 67, 111, 38, 143, 75, 46, 53, 119, 103, 62, 159, 69, 42, 32, 91, 191, 255, 57, 123, 83, 54, 49, 175, 135, 70, 223, 77, 287, 36

Offset: 1

Antti Karttunen, Mar 05 2016

Antti Karttunen, Table of n, a(n) for n = 1..10000
Index entries for sequences that are permutations of the natural numbers

Inverse: A269392.
Cf. A233271, A269381, A269390.
Cf. also A260431.
Similar or related permutations: A269397, A269401.

a(1) = 1, for n > 1, if A269381(n) - A269381(n-1) > 0 [when n is in A233271] a(n) = 2*a(A269381(n)-1), otherwise a(n) = 1 + 2*a(n-A269381(n)).
As a composition of other permutations:
a(n) = A269401(A269397(n)).

A269392 Permutation of natural numbers: a(1) = 1, a(2n) = A233271(1+a(n)), a(2n+1) = A269390(a(n)).

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 6, 8, 9, 12, 10, 16, 13, 15, 11, 21, 14, 24, 17, 32, 20, 28, 18, 49, 26, 38, 22, 46, 25, 31, 19, 64, 34, 42, 23, 79, 37, 53, 27, 110, 48, 63, 33, 94, 43, 56, 29, 186, 72, 87, 40, 128, 57, 71, 35, 174, 68, 82, 39, 106, 47, 60, 30, 245, 92, 117, 51, 152, 62, 75, 36, 322, 112, 127, 55, 203, 77, 90, 41

Offset: 1

Antti Karttunen, Mar 05 2016

This sequence can be represented as a binary tree. Each left hand child is produced as A233271(1+n), and each right hand child as A269390(n), when the parent contains n:
                                    |
                 ...................1...................
                2                                       3
      4......../ \........5                   7......../ \........6
     / \                 / \                 / \                 / \
    /   \               /   \               /   \               /   \
   /     \             /     \             /     \             /     \
  8       9          12       10         16       13         15       11
21 14   24 17      32  20   28  18     49  26   38  22     46  25   31  19
etc.

Antti Karttunen, Table of n, a(n) for n = 1..3071
Index entries for sequences that are permutations of the natural numbers

Inverse: A269391.
Cf. A233271, A269390.
Cf. also A260432.
Similar or related permutations: A269398, A269402.

a(1) = 1, a(2n) = A233271(1+a(n)), a(2n+1) = A269390(a(n)).
As a composition of other permutations:
a(n) = A269398(A269402(n)).

A269397 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = A179016(1+a(n)), a(A269390(n)) = A213713(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 their complements.

Original entry on oeis.org

1, 3, 2, 7, 6, 5, 4, 16, 13, 12, 10, 15, 9, 27, 11, 8, 22, 21, 18, 25, 46, 17, 43, 35, 20, 14, 36, 32, 34, 29, 26, 42, 40, 69, 28, 65, 54, 23, 33, 24, 55, 85, 50, 52, 45, 31, 41, 62, 19, 60, 100, 44, 67, 95, 80, 64, 37, 51, 38, 53, 82, 122, 78, 158, 75, 77, 68, 48, 61, 91, 49, 30, 88, 143, 145, 66, 98, 136, 116, 115, 93, 63, 56, 76, 58, 79, 39

Offset: 1

Antti Karttunen, Mar 05 2016

Antti Karttunen, Table of n, a(n) for n = 1..8191
Antti Karttunen, Entanglement Permutations, 2016-2017
Index entries for sequences that are permutations of the natural numbers

Inverse: A269398.
Cf. A179016, A213713, A233271, A269381, A269390.
Related or similar permutations: A269391, A269401, A269402.
Cf. also A233270.

a(1) = 1, for n > 1, if A269381(n) - A269381(n-1) > 0 [when n is in A233271] a(n) = A179016(1+a(A269381(n)-1)), otherwise a(n) = A213713(a(n-A269381(n))).
As a composition of related permutations:
a(n) = A269402(A269391(n)).

A269398 Permutation of natural numbers: a(1) = 1, a(A179016(1+n)) = A233271(1+a(n)), a(A213713(n)) = A269390(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 are their complements.

Original entry on oeis.org

1, 3, 2, 7, 6, 5, 4, 16, 13, 11, 15, 10, 9, 26, 12, 8, 22, 19, 49, 25, 18, 17, 38, 40, 20, 31, 14, 35, 30, 72, 46, 28, 39, 29, 24, 27, 57, 59, 87, 33, 47, 32, 23, 52, 45, 21, 103, 68, 71, 43, 58, 44, 60, 37, 41, 83, 186, 85, 123, 50, 69, 48, 82, 56, 36, 76, 53, 67, 34, 144, 128, 98, 101, 143, 65, 84, 66, 63, 86, 55, 106, 61, 118, 253, 42, 121, 169

Offset: 1

Antti Karttunen, Mar 05 2016

Antti Karttunen, Table of n, a(n) for n = 1..6089
Index entries for sequences that are permutations of the natural numbers

Inverse: A269397
Cf. A179016, A213713, A213719, A233271, A269390.
Related or similar permutations: A269392, A269401, A269402.
Cf. also A233270.

a(1) = 1, for n > 1, if A213719(n) = 1 [when n is in A179016] a(n) = A233271(1+a(A269371(n)-1)), otherwise a(n) = 1 + A269390(a(n-A269371(n))).
As a composition of related permutations:
a(n) = A269392(A269401(n)).

cp's OEIS Frontend

A269391 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = 2a(n), a(A269390(n)) = 1 + 2a(n), where A233271 is the infinite trunk of inverted binary beanstalk and A269390 is its complement.

Views

Author

Keywords

Links

Crossrefs

Formula

A269392 Permutation of natural numbers: a(1) = 1, a(2n) = A233271(1+a(n)), a(2n+1) = A269390(a(n)).

Views

Author

Keywords

Comments

Links

Crossrefs

Formula

A269397 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = A179016(1+a(n)), a(A269390(n)) = A213713(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 their complements.

Views

Author

Keywords

Links

Crossrefs

Formula

A269398 Permutation of natural numbers: a(1) = 1, a(A179016(1+n)) = A233271(1+a(n)), a(A213713(n)) = A269390(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 are their complements.

Views

Author

Keywords

Links

Crossrefs

Formula

cp's OEIS Frontend

A269391 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = 2*a(n), a(A269390(n)) = 1 + 2*a(n), where A233271 is the infinite trunk of inverted binary beanstalk and A269390 is its complement.

Views

Author

Keywords

Links

Crossrefs

Formula

A269392 Permutation of natural numbers: a(1) = 1, a(2n) = A233271(1+a(n)), a(2n+1) = A269390(a(n)).

Views

Author

Keywords

Comments

Links

Crossrefs

Formula

A269397 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = A179016(1+a(n)), a(A269390(n)) = A213713(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 their complements.

Views

Author

Keywords

Links

Crossrefs

Formula

A269398 Permutation of natural numbers: a(1) = 1, a(A179016(1+n)) = A233271(1+a(n)), a(A213713(n)) = A269390(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 are their complements.

Views

Author

Keywords

Links

Crossrefs

Formula

A269391 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = 2a(n), a(A269390(n)) = 1 + 2a(n), where A233271 is the infinite trunk of inverted binary beanstalk and A269390 is its complement.