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A033819
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Trimorphic numbers: n^3 ends with n. Also m-morphic numbers for all m>5 such that m-1 is not divisible by 10 and m==3 (mod 4)
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13
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0, 1, 4, 5, 6, 9, 24, 25, 49, 51, 75, 76, 99, 125, 249, 251, 375, 376, 499, 501, 624, 625, 749, 751, 875, 999, 1249, 3751, 4375, 4999, 5001, 5625, 6249, 8751, 9375, 9376, 9999, 18751, 31249, 40625, 49999, 50001, 59375, 68751, 81249, 90624, 90625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| Index entries for sequences related to automorphic numbers
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
| 376^3 = 53157376 which ends with 376.
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MATHEMATICA
| Do[x=Floor[N[Log[10, n], 25]]+1; If[Mod[n^3, 10^x] == n, Print[n]], {n, 1, 10000}]
Select[Range[100000], PowerMod[#, 3, 10^IntegerLength[#]]==#&](* From Harvey P. Dale, Nov 04 2011 *)
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CROSSREFS
| Cf. A074194.
Sequence in context: A020669 A091730 A058076 * A058782 A115762 A169889
Adjacent sequences: A033816 A033817 A033818 * A033820 A033821 A033822
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KEYWORD
| base,nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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