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A056810
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Fourth power of n is a palindrome.
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1
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OFFSET
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0,3
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COMMENTS
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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
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LINKS
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Table of n, a(n) for n=0..9.
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MATHEMATICA
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Do[c = RealDigits[n^4 ][[1]]; If[c == Reverse[c], Print[n]], {n, 0, 10^8+1}]
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CROSSREFS
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Cf. A186080.
Sequence in context: A191420 A118937 A031997 * A116098 A116129 A000533
Adjacent sequences: A056807 A056808 A056809 * A056811 A056812 A056813
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KEYWORD
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nonn,base,more
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AUTHOR
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Robert G. Wilson v, Aug 21 2000
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STATUS
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approved
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