The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A339132 Milk shuffle of the binary representation of n. 1
 0, 1, 2, 3, 2, 3, 6, 7, 2, 3, 6, 7, 10, 11, 14, 15, 2, 3, 6, 7, 18, 19, 22, 23, 10, 11, 14, 15, 26, 27, 30, 31, 2, 3, 6, 7, 18, 19, 22, 23, 34, 35, 38, 39, 50, 51, 54, 55, 10, 11, 14, 15, 26, 27, 30, 31, 42, 43, 46, 47, 58, 59, 62, 63, 2, 3, 6, 7, 18, 19, 22, 23 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Sander G. Huisman, Table of n, a(n) for n = 0..5000 [a(0)=0 inserted by Georg Fischer, Jan 04 2021] Roger Antonsen, Card Shuffling Visualizations, Bridges Conference Proceedings, 2018. EXAMPLE For n = 19 we take the binary representation without leading zeros: 10011. We now shuffle the binary digits around according to A209279, which can be interpreted as a so-called milk shuffle. For five digits the n-th digits gets moved around as follows: 1,2,3,4,5 => 3,2,4,1,5. This reshuffling can be thought of taking the middle number, and then alternatingly taking digits from the left and then the right until all digits are taken. We now apply this reshuffling to our binary digits of 19: 00111. This is now reinterpreted into a decimal number: 7. MATHEMATICA milk[list_]:=Table[list[[{i, -i}]], {i, Length[list]/2}]//milkPost[#, list]&//Reverse//Flatten milkPost[x_, list_]:=x/; EvenQ[Length[list]] milkPost[x_, list_]:=Join[x, {list[[(Length[list]+1)/2]]}] Table[FromDigits[milk@IntegerDigits[i, 2], 2], {i, 0, 500}] (*OR*) Table[FromDigits[ResourceFunction["Shuffle"][IntegerDigits[i, 2], "Milk"], 2], {i, 0, 500}] CROSSREFS Cf. A330090 (shuffle bits low to high). Cf. A209279 (1-based shuffle), A332104 (0-based shuffle). Sequence in context: A079025 A165930 A300500 * A064895 A120877 A326304 Adjacent sequences:  A339129 A339130 A339131 * A339133 A339134 A339135 KEYWORD base,easy,look,nonn,changed AUTHOR Sander G. Huisman, Nov 24 2020 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 January 17 23:00 EST 2021. Contains 340247 sequences. (Running on oeis4.)