A321043 Single-digit numbers in the order in which they first appear in the decimal expansions of powers of 2, followed by the two-digit numbers in the order in which they appear, then the three-digit numbers, and so on.

1, 2, 4, 8, 6, 3, 5, 0, 9, 7, 16, 32, 64, 12, 28, 25, 56, 51, 10, 24, 20, 48, 40, 96, 81, 19, 92, 63, 38, 84, 27, 76, 68, 65, 55, 53, 36, 13, 31, 72, 26, 62, 21, 14, 44, 52, 42, 88, 85, 57, 97, 71, 15, 41, 94, 43, 30, 83, 86, 60, 67, 77, 33, 35, 54, 34, 17, 45

Offset

1,2

Comments

Apparently this algorithm applied to most sequences will produce a fractal scatterplot graph. - David Williams, Jan 20 2019

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A321043

Example

1,2,4,8,16,32,64,128,256,512,1024, ..., 4096, ..., 32768, ... gives 1,2,4,8,6,3,5,0,9,7.
Then we get 16,32,64,12,28,25,56,51,10,24,20,48,40,96,81,19,92,...
11 does not appear until 2^40 = 1099511627776.

Prog

(PARI) See Links section.

Crossrefs

Cf. A000079, A105177.

See A030000 for an inverse.

Sequence in context: A132137 A011180 A103546 * A080868 A046260 A254065

Adjacent sequences: A321040 A321041 A321042 * A321044 A321045 A321046

Keyword

nonn,base,look

Author

David Williams, Oct 26 2018

Extensions

Edited by N. J. A. Sloane, Oct 27 2018

More terms from Rémy Sigrist, Oct 27 2018

Status

approved