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Search: id:A056810
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| A056810 |
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Fourth power of n is a palindrome. |
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+0
1
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| 0, 1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001
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OFFSET
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0,3
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COMMENT
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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. [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Apr 17 2009]
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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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Sequence in context: A122105 A118937 A031997 this_sequence A116098 A116129 A000533
Adjacent sequences: A056807 A056808 A056809 this_sequence A056811 A056812 A056813
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 21 2000
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