A260431 -id:A260431 - 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)).

A260430 Involution of natural numbers: a(1) = 1, a(A257803(1+n)) = A257804(a(n)), a(A257804(n)) = A257803(1+a(n)), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.

Original entry on oeis.org

1, 4, 12, 2, 30, 7, 6, 74, 19, 21, 18, 3, 172, 52, 54, 49, 48, 11, 9, 383, 10, 128, 125, 32, 36, 132, 31, 119, 118, 5, 27, 24, 812, 314, 89, 25, 283, 92, 275, 76, 86, 85, 83, 290, 75, 267, 266, 17, 16, 68, 60, 14, 724, 15, 227, 1675, 219, 659, 207, 51, 64, 599, 216, 61, 232, 583, 174, 50, 204, 210, 201, 193, 208, 8, 45, 40, 1574, 612, 173, 569, 595, 159, 43

Offset: 1

Antti Karttunen, Jul 27 2015

nonn

Antti Karttunen, Table of n, a(n) for n = 1..4453
Index entries for sequences that are permutations of the natural numbers

Cf. A257800, A257803, A257804, A257807, A257808.
Cf. also A233271, A257806.
Related permutations: A260431 - A260434.

a(1) = 1; for n > 1, if A257800(n) = 0 [when n is one of the terms of A257804] a(n) = A257803(1+a(A257808(n))), otherwise [when n is one of the terms of A257803] a(n) = A257804(a(A257807(n)-1)).

A260432 Permutation of natural numbers: a(1) = 1, a(2n) = A257804(a(n)), a(2n+1) = A257803(1+a(n)), where A257804 and A257803 give the positions of even and odd terms in A233271, the infinite trunk of inverted binary beanstalk.

Original entry on oeis.org

1, 2, 4, 3, 7, 6, 12, 5, 9, 11, 21, 10, 18, 19, 30, 8, 17, 14, 24, 16, 27, 36, 54, 15, 25, 31, 49, 32, 52, 48, 74, 13, 23, 29, 42, 22, 35, 40, 60, 28, 41, 45, 68, 61, 83, 92, 132, 26, 38, 43, 64, 50, 75, 86, 119, 51, 76, 89, 128, 85, 118, 125, 172, 20, 34, 39, 57, 47, 73, 71, 106, 37, 55, 59, 82, 67, 96, 101, 140, 46, 70, 69

Offset: 1

Antti Karttunen, Jul 27 2015

This sequence can be represented as a binary tree. Each left hand child is produced as A257804(n), and each right hand child as A257803(1+n), when the parent contains n:
                                     |
                  ...................1...................
                 2                                       4
       3......../ \........7                   6......../ \........12
      / \                 / \                 / \                 / \
     /   \               /   \               /   \               /   \
    /     \             /     \             /     \             /     \
   5       9          11       21         10       18         19       30
  8 17   14 24      16  27   36  54     15  25   31  49     32  52   48  74
etc.

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

Inverse: A260431.
Related permutations: A260434, A260430, A054429.
Cf. A257803, A257804, A257807, A257808.
Cf. also A233271, A257806.

a(1) = 1, a(2n) = A257804(a(n)), a(2n+1) = A257803(1+a(n)).
As a composition of other permutations:
a(n) = A260434(A054429(n)).
a(n) = A260430(A260434(n)).

A260433 Permutation of natural numbers: a(1) = 1, a(A257803(1+n)) = 2a(n), a(A257804(n)) = 1 + 2a(n), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.

Original entry on oeis.org

1, 3, 7, 2, 15, 5, 6, 31, 14, 11, 13, 4, 63, 29, 23, 27, 30, 10, 9, 127, 12, 59, 62, 28, 22, 47, 26, 55, 61, 8, 21, 19, 255, 126, 58, 25, 119, 46, 125, 57, 54, 60, 45, 95, 53, 111, 123, 17, 20, 43, 39, 18, 254, 24, 118, 511, 124, 253, 117, 56, 51, 239, 93, 44, 94, 251, 115, 52, 109, 110, 121, 91, 122, 16, 42, 38, 510, 191, 107, 223, 252, 116, 50, 247, 35, 41

Offset: 1

Antti Karttunen, Jul 27 2015

nonn

Antti Karttunen, Table of n, a(n) for n = 1..20000
Index entries for sequences that are permutations of the natural numbers

Inverse: A260434.
Related permutations: A260431, A260430, A054429.
Cf. A257800, A257803, A257804, A257807, A257808.
Cf. also A233271, A257806.

a(1) = 1; for n > 1, if A257800(n) = 0 [when n is one of the terms of A257804] a(n) = 1 + 2*a(A257808(n)), otherwise [when n is one of the terms of A257803] a(n) = 2*a(A257807(n)-1).
As a composition of other permutations:
a(n) = A054429(A260431(n)).
a(n) = A260431(A260430(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.

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A260430 Involution of natural numbers: a(1) = 1, a(A257803(1+n)) = A257804(a(n)), a(A257804(n)) = A257803(1+a(n)), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.

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Formula

A260432 Permutation of natural numbers: a(1) = 1, a(2n) = A257804(a(n)), a(2n+1) = A257803(1+a(n)), where A257804 and A257803 give the positions of even and odd terms in A233271, the infinite trunk of inverted binary beanstalk.

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Formula

A260433 Permutation of natural numbers: a(1) = 1, a(A257803(1+n)) = 2a(n), a(A257804(n)) = 1 + 2a(n), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.

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

A260430 Involution of natural numbers: a(1) = 1, a(A257803(1+n)) = A257804(a(n)), a(A257804(n)) = A257803(1+a(n)), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.

Views

Author

Keywords

Links

Crossrefs

Formula

A260432 Permutation of natural numbers: a(1) = 1, a(2n) = A257804(a(n)), a(2n+1) = A257803(1+a(n)), where A257804 and A257803 give the positions of even and odd terms in A233271, the infinite trunk of inverted binary beanstalk.

Views

Author

Keywords

Comments

Links

Crossrefs

Formula

A260433 Permutation of natural numbers: a(1) = 1, a(A257803(1+n)) = 2*a(n), a(A257804(n)) = 1 + 2*a(n), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.

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.

A260433 Permutation of natural numbers: a(1) = 1, a(A257803(1+n)) = 2a(n), a(A257804(n)) = 1 + 2a(n), where A257803 and A257804 give the positions of odd and even terms in A233271, the infinite trunk of inverted binary beanstalk.