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 A269392 Permutation of natural numbers: a(1) = 1, a(2n) = A233271(1+a(n)), a(2n+1) = A269390(a(n)). 5
 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 (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 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. LINKS Antti Karttunen, Table of n, a(n) for n = 1..3071 FORMULA 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)). PROG (Scheme, with memoization-macro definec) (definec (A269392 n) (cond ((<= n 1) n) ((even? n) (A233271 (+ 1 (A269392 (/ n 2))))) (else (A269390 (A269392 (/ (- n 1) 2)))))) CROSSREFS Inverse: A269391. Cf. A233271, A269390. Cf. also A260432. Similar or related permutations: A269398, A269402. Sequence in context: A269391 A095903 A267112 * A166277 A145342 A248918 Adjacent sequences:  A269389 A269390 A269391 * A269393 A269394 A269395 KEYWORD nonn,base,tabf AUTHOR Antti Karttunen, Mar 05 2016 STATUS approved

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Last modified June 1 00:27 EDT 2020. Contains 334756 sequences. (Running on oeis4.)