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A056810 Fourth power of n is a palindrome. 1
0, 1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 25 23:44 EST 2014. Contains 250017 sequences.