A281379 Numbers which are palindromic in their binary reflected Gray code representation.

0, 1, 2, 5, 6, 10, 14, 18, 21, 25, 30, 34, 42, 54, 62, 66, 77, 85, 90, 102, 105, 113, 126, 130, 146, 170, 186, 198, 214, 238, 254, 258, 285, 301, 306, 330, 341, 357, 378, 390, 409, 425, 438, 462, 465, 481, 510, 514, 546, 594, 626, 650, 682, 730, 762, 774, 806, 854, 886, 910, 942

Offset

1,3

Comments

A281378 is a subsequence of this sequence.

Links

Indranil Ghosh, Table of n, a(n) for n = 1..10000

Example

34 is in the sequence because the binary reflected Gray code representation of 34 is '110011', which is palindromic.

Mathematica

Select[Range[0, 10^3], Reverse@ # == # &@ Abs[Prepend[Most@ #, 0] - #] &@
IntegerDigits[#, 2] &] (* Michael De Vlieger, Jan 21 2017 *)

Prog

(Python)
def G(n):
    return bin(n^(n//2))[2:]
i=0
j=1
while j<=10000:
    if G(i)==G(i)[::-1]:
        print(str(j)+" "+str(i))
        j+=1
    i+=1

Crossrefs

Cf. A006995, A014550, A281378.

Sequence in context: A191748 A102212 A191124 * A348565 A316946 A005984

Adjacent sequences: A281376 A281377 A281378 * A281380 A281381 A281382

Keyword

nonn,base

Author

Indranil Ghosh, Jan 21 2017

Status

approved