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Search: id:A135050
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| A135050 |
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Numbers n such that sum of digits of n^3 is 8. Multiples of 10 are omitted. |
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+0 1
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| 2, 5, 8, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001, 10000000001, 100000000001, 1000000000001, 10000000000001, 100000000000001, 1000000000000001, 10000000000000001, 100000000000000001, 1000000000000000001, 10000000000000000001
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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All numbers of form 10..01 are eligible. Are there larger terms of other forms?
All terms up to 10^20 are of this form, except for 2, 5 and 8. - Max Alekseyev, Feb 11 2008
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EXAMPLE
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2^3=8, 5^3=125, 8^3=512, 11^3=1331, 101^3=1010301, 1001^3=1003003001, 10001^3=1000300030001.
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MATHEMATICA
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Do[If[Total[IntegerDigits[m^3]]==8&&Mod[m, 10]>0, Print[m]], {m, 100000}]
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CROSSREFS
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Sequence in context: A107679 A018846 A056661 this_sequence A004112 A024815 A073837
Adjacent sequences: A135047 A135048 A135049 this_sequence A135051 A135052 A135053
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov (zakseido(AT)yahoo.com), Feb 11 2008
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EXTENSIONS
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a(9) onwards from Max Alekseyev, Feb 11 2008
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