A273245 Non-palindromic binary numbers whose reversal is a palindrome.

10, 100, 110, 1000, 1010, 1100, 1110, 10000, 10010, 10100, 11000, 11100, 11110, 100000, 100010, 100100, 101000, 101010, 110000, 110110, 111000, 111100, 111110, 1000000, 1000010, 1000100, 1001000, 1010000, 1010100, 1011010, 1100000, 1100110, 1101100, 1110000, 1111000, 1111100

Offset: 1

Author

Giovanni Teofilatto, May 18 2016

Keywords

• nonn
• easy
• base

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A006995, A273329, A272670 (this sequence written in base 10), A057890 (and divided by 2).

Programs

Maple

# see A272670 for the other subroutines
for n from 1 to 400 do
    if isA272670(n) then
        printf("%d,",A007088(n)) ;
    end if;
end do: # R. J. Mathar, May 20 2016

Python

A273245_list = [int(m) for m in (bin(n)[2:] for n in range(1,10**4)) if m != m[::-1] and m.rstrip('0') == m[::-1].lstrip('0')] # Chai Wah Wu, May 21 2016

Formula

Consists of binary palindromes (A006995) times nontrivial powers of 2, that is, 2^i, i>0. - N. J. A. Sloane, May 19 2016

a(n) = A007088(A272670(n)). - R. J. Mathar, May 20 2016