A217558 Split-and-swap on 8-bit integers.

0, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 2, 18, 34, 50, 66, 82, 98, 114, 130, 146, 162, 178, 194, 210, 226, 242, 3, 19, 35, 51, 67, 83, 99, 115, 131, 147, 163, 179, 195, 211, 227, 243

Offset

0,2

Comments

Split-and-swap consists of spliting a binary word into two halves and swapping the parts over to form a new word, for example 11001010 becomes 10101100.

There are 256 terms to the sequence. - Harvey P. Dale, Jul 14 2015

Links

Harvey P. Dale, Table of n, a(n) for n = 0..255

Example

a(17)=17 because 17 is 00010001 which is invariant over the SaS rule.
a(19)=49 because 00010011 becomes 00110001.

Mathematica

FromDigits[#, 2]&/@(Join[Take[#, -4], Take[#, 4]]&/@Select[Tuples[{0, 1}, 8], Length[#] ==8 &]) (* Harvey P. Dale, Jul 14 2015 *)

Prog

(JavaScript)
for (i=0; i<16; i++)
for (j=0; j<16; j++)
document.write(j*16+i+", ");
(PARI) A217558(n)=[1, 16]*divrem(n, 16) \\ - M. F. Hasler, Oct 07 2012

Crossrefs

Sequence in context: A046101 A360723 A044856 * A044901 A008598 A044061

Adjacent sequences: A217555 A217556 A217557 * A217559 A217560 A217561

Keyword

nonn,fini,full,base

Author

Jon Perry, Oct 06 2012

Status

approved