login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A319598 Numbers in base 10 that are palindromic in bases 2, 4, 8, and 16. 2
0, 1, 3, 5, 4095, 4097, 12291, 20485, 21845, 16777215, 16777217, 16781313, 50331651, 50343939, 83886085, 83906565, 89458005, 89478485, 68702703615, 68719476735, 68719476737, 68736258049, 206158430211, 206208774147, 343597383685, 343602954245, 343681290245 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Intersection of A006995, A014192, A029803, and A029730.

This sequence is infinite because it contains terms of the forms 4096^k-1 (k>=0) and 4096^k+1 (k>0). - Bruno Berselli, Sep 24 2018

LINKS

A.H.M. Smeets, Table of n, a(n) for n = 1..114 (first 70 terms from Rémy Sigrist)

EXAMPLE

4095 = 111111111111_2 = 333333_4 = 7777_8 = FFF_16. Hence 4095 is in the sequence.

MATHEMATICA

palQ[n_, b_] := PalindromeQ[IntegerDigits[n, b]];

Reap[Do[If[palQ[n, 2] && palQ[n, 4] && palQ[n, 8] && palQ[n, 16], Print[n]; Sow[n]], {n, 0, 10^6}]][[2, 1]] (* Jean-François Alcover, Sep 25 2018 *)

PROG

(Sage) [n for n in (0..100000) if Word(n.digits(2)).is_palindrome() and Word(n.digits(4)).is_palindrome() and Word(n.digits(8)).is_palindrome() and Word(n.digits(16)).is_palindrome()]

CROSSREFS

Cf. A006995 (base 2), A014192 (base 4), A029803 (base 8), and A029730 (base 16).

Sequence in context: A090807 A138154 A333269 * A126334 A068635 A156695

Adjacent sequences:  A319595 A319596 A319597 * A319599 A319600 A319601

KEYWORD

nonn,base

AUTHOR

Jeremias M. Gomes, Sep 24 2018

EXTENSIONS

a(19)-a(27) from Rémy Sigrist, Nov 15 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 26 00:52 EDT 2021. Contains 348256 sequences. (Running on oeis4.)