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

Author

Indranil Ghosh, Jan 21 2017

Keywords

• nonn
• base

Comments

A281378 is a subsequence of this sequence.

Examples

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

Links

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

Crossrefs

Cf. A006995, A014550, A281378.

Programs

Mathematica

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

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