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 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

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