A192776 Squares of binary palindromes.

0, 1, 1001, 11001, 110001, 1010001, 11100001, 100100001, 110111001, 1011011001, 1111000001, 10001000001, 11111101001, 101000101001, 111110000001, 1000010000001, 1010011010001, 1110000111001, 10000111001001, 10011001001001, 10110010111001, 11011101010001, 11111100000001, 100000100000001, 101101101110001, 110101001011001, 1000101110001001, 1001010010001001, 1011101101011001, 1101000001110001, 1111111000000001, 10000001000000001, 10010001100100001

Offset: 1

Author

N. J. A. Sloane, Jul 09 2011

Keywords

• nonn
• base

Crossrefs

This is A192775 written in base 2, also A006995 (or A057148) squared. Cf. A006995, A057148.

Programs

Python

def A192776(n):
    if n == 1: return 0
    a = 1<<(l:=n.bit_length()-2)
    m = a|(n&a-1)
    return int(bin(((m<Chai Wah Wu, Jul 23 2024