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 A284572 Permutation of natural numbers: a(1) = 1, a(2n) = A005117(1+a(n)), a(2n+1) = A065642(1+a(n)). 4
 1, 2, 4, 3, 9, 6, 25, 5, 8, 14, 20, 10, 49, 39, 52, 7, 12, 13, 27, 22, 45, 33, 63, 15, 121, 79, 80, 65, 50, 85, 2809, 11, 16, 19, 169, 21, 28, 42, 56, 35, 529, 73, 92, 55, 68, 103, 128, 23, 32, 199, 244, 130, 100, 131, 243, 106, 132, 82, 153, 139, 172, 4619, 5620, 17, 18, 26, 289, 31, 40, 277, 340, 34, 44, 43, 841, 69, 1849, 91, 171, 58, 48 (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 A005117(1+n), and each right hand child as A065642(1+n), when the parent node contains n:                                     1                  ................../ \..................                 2                                       4       3......../ \........9                   6......../ \........25      / \                 / \                 / \                 / \     /   \               /   \               /   \               /   \    /     \             /     \             /     \             /     \   5       8          14       20         10       49         39       52 7  12   13 27      22  45   33  63     15  121  79  80     65  50   85 2809 etc. Compare to A285112. LINKS Antti Karttunen, Table of n, a(n) for n = 1..166 FORMULA a(1) = 1, a(2n) = A005117(1+a(n)), a(2n+1) = A065642(1+a(n)). PROG (Scheme, with memoization-macro definec) (definec (A284572 n) (cond ((= 1 n) n) ((even? n) (A005117 (+ 1 (A284572 (/ n 2))))) (else (A065642 (+ 1 (A284572 (/ (- n 1) 2))))))) CROSSREFS Inverse: A284571. Cf. A005117, A065642. Similar or related permutations: A243344, A243346, A277696, A285112. Sequence in context: A111390 A129596 A329901 * A157182 A343232 A292145 Adjacent sequences:  A284569 A284570 A284571 * A284573 A284574 A284575 KEYWORD nonn,tabf AUTHOR Antti Karttunen, Apr 17 2017 STATUS approved

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Last modified April 12 10:35 EDT 2021. Contains 342920 sequences. (Running on oeis4.)