A165785 Base 10 representation of A240602.

0, 1, 3, 5, 7, 15, 27, 31, 45, 63, 85, 93, 119, 127, 255, 495, 511, 891, 1023, 1755, 1787, 2015, 2047, 2925, 4095, 5805, 5869, 8127, 8191, 10965, 11997, 15351, 16383, 21845, 21973, 23901, 24029, 30583, 30711, 32639, 32767, 65535, 130815, 131071, 253935

Offset: 1

Author

Leroy Quet, Sep 26 2009

Keywords

• base
• nonn

Comments

Each term is a palindrome when written in base 2.

This entry is the result of merging two sequences. The old definition (which did not have the initial zero) was: "a(1)=1. For n >= 2, each a(n) = the decimal equivalent of either a(k)Ua(k) or a(k)U0Ua(k) or a(k)U1Ua(k), where U denotes concatenation of the binary representations of the arguments, and where k is some positive integer < n. The numbers are arranged in numerical order."

Links

• Lior Manor, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A165784, A240602.

Programs

Mathematica

Select[Range[2^14], And[PalindromeQ@ Take[#, Floor[Length[#]/2]], PalindromeQ[#]] &@ IntegerDigits[#, 2] &] (* Michael De Vlieger, Nov 08 2017 *)

Extensions

Extended by Ray Chandler, Mar 12 2010

New definition from Lior Manor, May 27 2014

Edited by N. J. A. Sloane, May 30 2014