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A330963
For any n >= 0: consider all pairs of numbers (x, y) whose binary representations can be interleaved (or shuffled) to produce the binary representation of n (possibly with leading zeros); a(n) is the least possible value of abs(x^2 - y^2).
2
0, 1, 1, 0, 1, 0, 3, 8, 1, 0, 0, 5, 0, 5, 5, 0, 1, 0, 0, 5, 0, 5, 5, 0, 9, 7, 5, 0, 7, 16, 27, 40, 1, 0, 0, 5, 0, 5, 5, 0, 0, 7, 5, 0, 7, 0, 11, 24, 0, 8, 5, 0, 7, 0, 0, 13, 20, 11, 0, 13, 0, 13, 13, 0, 1, 0, 0, 5, 0, 5, 5, 0, 0, 7, 5, 0, 7, 0, 11, 24, 0, 8, 5
OFFSET
0,7
EXAMPLE
For n = 5:
- the binary representation of 5 is "101",
- the possible values for (x, y), restricted to x >= y without loss of generality, are:
bin(5) x y |x^2-y^2|
------- - - ---------
"101" 5 0 25
"1/01" 1 1 0
"10/1" 2 1 3
"1/0/1" 3 0 9
- hence a(5) = 0.
PROG
(C) See Links section.
CROSSREFS
See A330925 for similar sequences.
Cf. A327195.
Sequence in context: A076482 A225802 A156827 * A327195 A374952 A140272
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Jan 04 2020
STATUS
approved