

A341273


If A261283(n) = 0, then a(n) = n, otherwise a(n) is obtained by flipping the A261283(n)th rightmost bit in the binary expansion of n.


1



0, 0, 0, 7, 0, 7, 7, 7, 0, 25, 42, 75, 76, 45, 30, 7, 0, 25, 82, 51, 52, 85, 30, 7, 25, 25, 30, 25, 30, 25, 30, 30, 0, 97, 42, 51, 52, 45, 102, 7, 42, 45, 42, 42, 45, 45, 42, 45, 52, 51, 51, 51, 52, 52, 52, 51, 120, 25, 42, 51, 52, 45, 30, 127, 0, 97, 82, 75
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OFFSET

0,4


COMMENTS

All terms belong to A075926.


LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..32768


FORMULA

A261283(a(n)) = 0.
a(a(n)) = a(n).
a(n) = n iff n belongs to A075926.
a(2^k) = 0 for any k >= 0.


EXAMPLE

For n = 7:
 A261283(7) = 0,
 so a(7) = 7.
For n = 43:
 A261283(43) = 1,
 so a(43) is obtained by flipping the rightmost binary digit in 43,
 a(43) = 42.


PROG

(PARI) a(n) = { my (m=n, x=0); while (m, my (v=valuation(m, 2)); x=bitxor(x, v+1); m=2^v); if (x, bitxor(n, 2^(x1)), n) }


CROSSREFS

Cf. A075926, A261283.
Sequence in context: A335727 A158857 A255727 * A011438 A321022 A216185
Adjacent sequences: A341270 A341271 A341272 * A341274 A341275 A341276


KEYWORD

nonn,look,base


AUTHOR

Rémy Sigrist, Feb 08 2021


STATUS

approved



