A154810 Nonpalindromic numbers with binary digits only.

10, 100, 110, 1000, 1010, 1011, 1100, 1101, 1110, 10000, 10010, 10011, 10100, 10110, 10111, 11000, 11001, 11010, 11100, 11101, 11110, 100000, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101110, 101111

Offset: 1

Author

Omar E. Pol, Jan 24 2009

Keywords

• easy
• nonn
• base

Comments

A154809 written in base 2.

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007088, A029742, A057148, A154809.

Programs

Mathematica

Map[FromDigits, Select[IntegerDigits[Range[50], 2], !PalindromeQ[#] &]] (* Paolo Xausa, Jul 24 2024 *)

Python

def A154810(n):
    def f(x): return n+(x>>(l:=x.bit_length())-(k:=l+1>>1))-(int(bin(x)[k+1:1:-1],2)>(x&(1<Chai Wah Wu, Jul 24 2024

Formula

a(n) = A007088(A154809(n)). - Michel Marcus, Jul 24 2024

Extensions

Extended by Ray Chandler, Mar 14 2010