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A269864 Permutation of natural numbers: a(1) = 1, a(2n)) = A269360(a(n)), a(2n+1) = A250469(1+a(n)). 5
1, 2, 3, 4, 5, 6, 9, 10, 7, 8, 15, 16, 11, 26, 27, 28, 13, 12, 21, 22, 25, 36, 45, 46, 19, 14, 33, 76, 65, 66, 81, 82, 31, 18, 39, 34, 17, 56, 63, 64, 29, 50, 75, 106, 41, 116, 135, 136, 53, 24, 57, 40, 35, 86, 99, 226, 143, 120, 195, 196, 71, 206, 243, 244, 89, 38, 93, 52, 23, 96, 117, 100, 77, 20, 51, 166, 145, 156, 189, 190, 119, 32, 87 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence can be represented as a binary tree. When the parent contains n, the left hand child contains A269360(n) [= 1+A250469(n)] and the right hand child contains A250469(1+n):

                                     1

                                     |

                  ................../ \..................

                 2                                       3

       4......../ \........5                   6......../ \........9

      / \                 / \                 / \                 / \

     /   \               /   \               /   \               /   \

    /     \             /     \             /     \             /     \

  10       7           8       15         16       11         26       27

28  13   12 21       22 25   36  45     46  19   14  33     76  65   66  81

etc.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..5887

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(1) = 1, a(2n) = 1 + A250469(a(n)), a(2n+1) = A250469(1+a(n)).

PROG

(Scheme, with memoization-macro definec)

(definec (A269864 n) (cond ((= 1 n) 1) ((even? n) (+ 1 (A250469 (A269864 (/ n 2))))) (else (A250469 (+ 1 (A269864 (/ (- n 1) 2)))))))

CROSSREFS

Inverse: A269863.

Cf. A250469, A269360.

Cf. also A269865, A269866, A269867.

Differs from similarly constructed A245606 for the first time at n=15, where a(15)=27 instead of 21.

Sequence in context: A269863 A297165 A245606 * A103681 A319824 A039265

Adjacent sequences:  A269861 A269862 A269863 * A269865 A269866 A269867

KEYWORD

nonn,tabf

AUTHOR

Antti Karttunen, Mar 13 2016

STATUS

approved

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Last modified November 23 21:51 EST 2020. Contains 338603 sequences. (Running on oeis4.)