The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A269865 Permutation of natural numbers: a(1) = 1, a(2n) = 2*a(n), a(2n+1) = A250469(1+a(n)). 8
 1, 2, 3, 4, 5, 6, 9, 8, 7, 10, 15, 12, 11, 18, 27, 16, 25, 14, 21, 20, 13, 30, 45, 24, 17, 22, 33, 36, 23, 54, 81, 32, 19, 50, 75, 28, 35, 42, 63, 40, 55, 26, 39, 60, 37, 90, 135, 48, 49, 34, 51, 44, 29, 66, 99, 72, 41, 46, 69, 108, 91, 162, 243, 64, 85, 38, 57, 100, 125, 150, 225, 56, 31, 70, 105, 84, 47, 126, 189, 80, 43, 110, 165, 52 (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 2n, while the value of right hand child is obtained by applying A250469(1+n):                                     1                                     |                  ................../ \..................                 2                                       3       4......../ \........5                   6......../ \........9      / \                 / \                 / \                 / \     /   \               /   \               /   \               /   \    /     \             /     \             /     \             /     \   8       7          10       15         12       11         18       27 16 25   14 21      20  13   30  45     24  17   22  33     36  23   54  81 etc. Note how all nodes with odd n have a right hand child with value 3n. LINKS Antti Karttunen, Table of n, a(n) for n = 1..6142 Antti Karttunen, Entanglement Permutations, 2016-2017 FORMULA a(1) = 1, a(2n) = 2*a(n), a(2n+1) = A250469(1+a(n)). PROG (Scheme, with memoization-macro definec) (definec (A269865 n) (cond ((<= n 1) n) ((even? n) (* 2 (A269865 (/ n 2)))) (else (A250469 (+ 1 (A269865 (/ (- n 1) 2))))))) CROSSREFS Inverse: A269866. Cf. A250469. Related or similar permutations: A269359, A269863, A269864, A269867, A246375, A249814, A252755, A270195. Sequence in context: A246376 A269866 A246375 * A269387 A207801 A340364 Adjacent sequences:  A269862 A269863 A269864 * A269866 A269867 A269868 KEYWORD nonn,tabf,look AUTHOR Antti Karttunen, Mar 12 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 21 22:14 EST 2021. Contains 340354 sequences. (Running on oeis4.)