login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A327191 For any n >= 0: consider the different ways to split the binary representation of n into two (possibly empty) parts, say with value x and y; a(n) is the least possible value of abs(x - y). 3
0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 3, 2, 1, 0, 1, 0, 0, 1, 2, 3, 3, 2, 3, 2, 1, 0, 1, 2, 3, 4, 1, 0, 0, 1, 0, 1, 2, 3, 5, 4, 3, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 1, 0, 1, 5, 6, 5, 4, 3, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 4, 5, 6, 6, 5, 4, 3, 2, 5, 4, 3, 2, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8192

FORMULA

a(n) = 0 iff n = 0 or n belongs to A175468.

EXAMPLE

For n=42:

- the binary representation of 42 is "101010",

- there are 7 ways to split it:

   - "" and "101010": x=0 and y=42: abs(0 - 42) = 42,

   - "1" and "01010": x=1 and y=10: abs(1 - 10) = 9,

   - "10" and "1010": x=2 and y=10: abs(2 - 10) = 8,

   - "101" and "010": x=5 and y=2: abs(5 - 2) = 3,

   - "1010" and "10": x=10 and y=2: abs(10 - 2) = 8,

   - "10101" and "0": x=21 and y=0: abs(21 - 0) = 21,

   - "101010" and "": x=42 and y=0: abs(42 - 0) = 42,

- hence a(42) = 3.

PROG

(PARI) a(n) = my (v=oo, b=binary(n)); for (w=0, #b, v=min(v, abs(fromdigits(b[1..w], 2) - fromdigits(b[w+1..#b], 2)))); v

CROSSREFS

See A327186 for other variants.

Cf. A175468.

Sequence in context: A301570 A301567 A115363 * A036867 A036866 A144225

Adjacent sequences:  A327188 A327189 A327190 * A327192 A327193 A327194

KEYWORD

nonn,look,base

AUTHOR

Rémy Sigrist, Aug 25 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)