

A263613


Palindromic numbers in base 4 that are cubes.


1



0, 1, 1331, 1030301, 1003003001, 1000300030001, 1000030000300001, 1000003000003000001, 1000000300000030000001, 1000000030000000300000001, 1000000003000000003000000001, 1000000000300000000030000000001, 1000000000030000000000300000000001, 1000000000003000000000003000000000001
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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 nonpalindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 1119. [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



