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!)
 A342217 The n-th and a(n)-th points of the Hilbert's Hamiltonian walk (A059252, A059253) are symmetrical with respect to the line X=Y. 3
 0, 3, 2, 1, 14, 15, 12, 13, 8, 11, 10, 9, 6, 7, 4, 5, 58, 57, 56, 59, 60, 63, 62, 61, 50, 49, 48, 51, 52, 55, 54, 53, 32, 35, 34, 33, 46, 47, 44, 45, 40, 43, 42, 41, 38, 39, 36, 37, 26, 25, 24, 27, 28, 31, 30, 29, 18, 17, 16, 19, 20, 23, 22, 21, 234, 235, 232 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS In other words, a(n) is the unique k such that A059252(n) = A059253(k) and A059253(n) = A059252(k). This sequence is a self-inverse permutation of the nonnegative integers. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..4095 Rémy Sigrist, PARI program for A342217 FORMULA a(n) = n iff n belongs to A062880. a(n) < 16^k for any n < 16^k. EXAMPLE The Hilbert's Hamiltonian walk (A059252, A059253) begins as follows:      +     +-----+-----+      |15   |12    11   |10      |     |           |      +-----+     +-----+       14    13   |8     9                  |      +-----+     +-----+      |1    |2     7    |6      |     |           |      +     +-----+-----+       0     3     4     5 - so a(0) = 0,      a(1) = 3,      a(2) = 2,      a(4) = 14,      a(5) = 15,      a(7) = 13,      a(8) = 8,      a(9) = 11,      a(10) = 10. PROG (PARI) See Links section. CROSSREFS See A342218 and A342224 for similar sequences. Cf. A059252, A059253, A062880. Sequence in context: A152405 A152400 A291978 * A111548 A140709 A109282 Adjacent sequences:  A342214 A342215 A342216 * A342218 A342219 A342220 KEYWORD nonn AUTHOR Rémy Sigrist, Mar 05 2021 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 July 30 13:39 EDT 2021. Contains 346359 sequences. (Running on oeis4.)