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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. 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..8191

Index entries for sequences that are permutations of the natural numbers

FORMULA

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)).

PROG

(Scheme, with memoizing macro definec)

(definec (A260432 n) (cond ((<= n 1) n) ((even? n) (A257804 (A260432 (/ n 2)))) (else (A257803 (+ 1 (A260432 (/ (- n 1) 2)))))))

CROSSREFS

Inverse: A260431.

Related permutations: A260434, A260430, A054429.

Cf. A257803, A257804, A257807, A257808.

Cf. also A233271, A257806.

Sequence in context: A266413 A245614 A246165 * A021808 A225252 A235201

Adjacent sequences:  A260429 A260430 A260431 * A260433 A260434 A260435

KEYWORD

nonn,tabf

AUTHOR

Antti Karttunen, Jul 27 2015

STATUS

approved

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Last modified December 15 11:43 EST 2019. Contains 329999 sequences. (Running on oeis4.)