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

1,3

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

Mathematica

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

Crossrefs

Cf. A165784, A240602.

Sequence in context: A029514 A061950 A166093 * A362057 A261646 A303027

Adjacent sequences: A165782 A165783 A165784 * A165786 A165787 A165788

Keyword

base,nonn

Author

Leroy Quet, Sep 26 2009

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

Status

approved