

A056810


Fourth power of n is a palindrome.


1




OFFSET

0,3


COMMENTS

Suppose a number is of the form a=10...01 then a^2=10..020..01, so a^2 is always a palindrome. a^3=10..030..030..01, so a^3 is always a palindrome. Similarly we also have a^4=10..040..060..040..01, so a^4 is always a palindrome. However, a^5 is in general not a palindrome, for example 101^5=10510100501. [Dmitry Kamenetsky, Apr 17 2009]
The sequence contains no term with digit sum 3.  Vladimir Shevelev, May 23 2011


LINKS

Table of n, a(n) for n=0..9.


MATHEMATICA

Do[c = RealDigits[n^4 ][[1]]; If[c == Reverse[c], Print[n]], {n, 0, 10^8+1}]


CROSSREFS

Cf. A186080.
Sequence in context: A191420 A118937 A031997 * A116098 A116129 A000533
Adjacent sequences: A056807 A056808 A056809 * A056811 A056812 A056813


KEYWORD

nonn,base,more


AUTHOR

Robert G. Wilson v, Aug 21 2000


STATUS

approved



