This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A244154 Permutation of natural numbers: a(0) = 1, a(1) = 2, a(2n) = A254049(a(n)), a(2n+1) = 3*a(n)-1; composition of A048673 and A005940. 21
 1, 2, 3, 5, 4, 8, 13, 14, 6, 11, 18, 23, 25, 38, 63, 41, 7, 17, 28, 32, 39, 53, 88, 68, 61, 74, 123, 113, 172, 188, 313, 122, 9, 20, 33, 50, 46, 83, 138, 95, 72, 116, 193, 158, 270, 263, 438, 203, 85, 182, 303, 221, 424, 368, 613, 338, 666, 515, 858, 563, 1201, 938, 1563, 365, 10, 26, 43, 59, 60 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Note the indexing: the domain starts from 0, while the range excludes zero. From Antti Karttunen, May 30 2017: (Start) This sequence can be represented as a binary tree. Each left hand child is obtained by applying A254049(n) when the parent contains n, and each right hand child is obtained by applying A016789(n-1) (i.e., multiply by 3, subtract one) to the parent's contents:                                      1                                      |                   ...................2...................                  3                                       5        4......../ \........8                  13......../ \........14       / \                 / \                 / \                 / \      /   \               /   \               /   \               /   \     /     \             /     \             /     \             /     \    6       11         18       23         25       38         63       41   7 17   28  32     39  53   88  68     61  74  123  113   172  188  313 122 etc. This is a mirror image of the tree depicted in A245612. (End) LINKS Antti Karttunen, Table of n, a(n) for n = 0..8192 FORMULA a(n) = A048673(A005940(n+1)). From Antti Karttunen, May 30 2017: (Start) a(0) = 1, a(1) = 2, a(2n) = A254049(a(n)), a(2n+1) = 3*a(n)-1. a(n) = A245612(A054429(n)). (End) PROG (Scheme) (define (A244154 n) (A048673 (A005940 (+ 1 n)))) ;; Implementing a new recurrence, with memoization-macro definec: (definec (A244154 n) (cond ((<= n 1) (+ 1 n)) ((even? n) (A254049 (A244154 (/ n 2)))) (else (+ -1 (* 3 (A244154 (/ (- n 1) 2))))))) ;; Antti Karttunen, May 30 2017 CROSSREFS Inverse: A244153. Cf. A005940, A048673, A054429, A243065-A243066, A243505-A243506, A245612, A245608, A245610, A245612, A016789, A254049, A285712, A285714, A286613. Sequence in context: A272090 A120255 A245608 * A182395 A244983 A059450 Adjacent sequences:  A244151 A244152 A244153 * A244155 A244156 A244157 KEYWORD nonn,tabf AUTHOR Antti Karttunen, Jun 27 2014 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 December 11 01:07 EST 2019. Contains 329910 sequences. (Running on oeis4.)