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A325402
maxflip(n) = max(n, r(n)) where r(n) is the binary reverse of n.
2
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 12, 13, 14, 15, 16, 17, 18, 25, 20, 21, 22, 29, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 49, 36, 41, 38, 57, 40, 41, 42, 53, 44, 45, 46, 61, 48, 49, 50, 51, 52, 53, 54, 59, 56, 57, 58, 59, 60, 61, 62, 63
OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..16384 (first 257 terms from Francois Alcover)
FORMULA
a(n) = max(n,A030101(n)).
EXAMPLE
a(10) = max(10, r(10))
= max(10, b'0101')
= max(10, 5)
= 10.
a(11) = max(11, r(11))
= max(11, b'1101')
= max(11, 13)
= 13.
MAPLE
a:= proc(n) local m, r; m:=n; r:=0;
while m>0 do r:=r*2+irem(m, 2, 'm') od;
max(n, r)
end:
seq(a(n), n=0..127); # Alois P. Heinz, Apr 23 2019
PROG
(PARI) a(n) = max(n, fromdigits(Vecrev(binary(n)), 2)); \\ Michel Marcus, Apr 24 2019
CROSSREFS
Cf. A068637 (analog in base 10).
Sequence in context: A057889 A235027 A337304 * A110029 A302027 A302028
KEYWORD
nonn,look,base
AUTHOR
Francois Alcover, Apr 23 2019
STATUS
approved