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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

%I

%S 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,

%T 33,76,65,66,81,82,31,18,39,34,17,56,63,64,29,50,75,106,41,116,135,

%U 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

%N Permutation of natural numbers: a(1) = 1, a(2n)) = A269360(a(n)), a(2n+1) = A250469(1+a(n)).

%C 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):

%C 1

%C |

%C ................../ \..................

%C 2 3

%C 4......../ \........5 6......../ \........9

%C / \ / \ / \ / \

%C / \ / \ / \ / \

%C / \ / \ / \ / \

%C 10 7 8 15 16 11 26 27

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

%C etc.

%H Antti Karttunen, <a href="/A269864/b269864.txt">Table of n, a(n) for n = 1..5887</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

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

%o (Scheme, with memoization-macro definec)

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

%Y Inverse: A269863.

%Y Cf. A250469, A269360.

%Y Cf. also A269865, A269866, A269867.

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

%K nonn,tabf

%O 1,2

%A _Antti Karttunen_, Mar 13 2016

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Last modified January 28 06:59 EST 2021. Contains 340490 sequences. (Running on oeis4.)