login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A263613 Palindromic numbers in base 4 that are cubes. 1
0, 1, 1331, 1030301, 1003003001, 1000300030001, 1000030000300001, 1000003000003000001, 1000000300000030000001, 1000000030000000300000001, 1000000003000000003000000001, 1000000000300000000030000000001, 1000000000030000000000300000000001, 1000000000003000000000003000000000001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

There is an obvious pattern here, but it is not known how long it will continue.

The cube roots (written in base 4) are 0, 1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001 (coinciding with A056810 to this point).

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..18

G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]

CROSSREFS

Cf. A056810, A168575.

Sequence in context: A226716 A076443 A278936 * A052076 A013795 A013860

Adjacent sequences:  A263610 A263611 A263612 * A263614 A263615 A263616

KEYWORD

nonn,more,base

AUTHOR

N. J. A. Sloane, Oct 22 2015

EXTENSIONS

a(11) from Chai Wah Wu, Oct 23 2015

a(12)-a(14) from Chai Wah Wu, Sep 26 2017

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 August 21 23:04 EDT 2019. Contains 326169 sequences. (Running on oeis4.)