A280995 a(n) is the number produced when n is converted to binary reflected Gray code, the binary digits are reversed and the code is converted back to decimal.

0, 1, 3, 1, 3, 7, 5, 1, 3, 11, 15, 7, 5, 13, 9, 1, 3, 19, 27, 11, 15, 31, 23, 7, 5, 21, 29, 13, 9, 25, 17, 1, 3, 35, 51, 19, 27, 59, 43, 11, 15, 47, 63, 31, 23, 55, 39, 7, 5, 37, 53, 21, 29, 61, 45, 13, 9, 41, 57, 25, 17, 49, 33, 1, 3, 67, 99, 35, 51, 115, 83, 19, 27, 91, 123, 59, 43

Offset

0,3

Comments

a(n) = A003188(n) iff A014550(n) is palindromic.

Links

Indranil Ghosh, Table of n, a(n) for n = 0..50000

Example

For n = 8, the binary reflected Gray code representation of n is '1100' which when reversed becomes '0011'; and 11_2 = 3_10. So, a(8) = 3.

Prog

(Python)
def a(n):
....return int(bin(n^(n/2))[2:][::-1], 2)

Crossrefs

Cf. A003188, A014550, A030101.

Sequence in context: A114972 A107461 A035619 * A379361 A092689 A281553

Adjacent sequences: A280992 A280993 A280994 * A280996 A280997 A280998

Keyword

nonn,base

Author

Indranil Ghosh, Jan 19 2017

Status

approved