The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A306993 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, n * a(n) is digitally balanced. 3
 2, 1, 3, 11, 7, 25, 5, 23, 15, 17, 4, 13, 12, 43, 9, 47, 10, 31, 29, 37, 34, 26, 8, 39, 6, 22, 30, 81, 19, 27, 18, 95, 63, 21, 61, 67, 20, 57, 24, 70, 56, 51, 14, 55, 49, 54, 16, 53, 45, 58, 42, 65, 48, 46, 44, 41, 38, 50, 62, 149, 35, 59, 33, 191, 52, 127, 36 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Digitally balanced numbers correspond to A031443. This sequence has similarities with A300868. This sequence is a self-inverse permutation of the natural numbers. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, PARI program for A306993 Rémy Sigrist, Colored scatterplot of the first 10000 terms (where the color is function of A000120(n*a(n))) Index entries for sequences that are permutations of the natural numbers EXAMPLE The first terms, alongside the binary representation of n * a(n), are: n a(n) bin(n * a(n)) -- ---- -------------- 1 2 10 2 1 10 3 3 1001 4 11 101100 5 7 100011 6 25 10010110 7 5 100011 8 23 10111000 9 15 10000111 10 17 10101010 11 4 101100 12 13 10011100 13 12 10011100 14 43 1001011010 15 9 10000111 16 47 1011110000 PROG (PARI) See Links section. CROSSREFS Cf. A000120, A031443, A300868. Sequence in context: A372523 A196371 A276116 * A119928 A215265 A036448 Adjacent sequences: A306990 A306991 A306992 * A306994 A306995 A306996 KEYWORD nonn,look,base AUTHOR Rémy Sigrist, Mar 18 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 27 02:27 EDT 2024. Contains 372847 sequences. (Running on oeis4.)