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Search: id:A070931
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| A070931 |
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Numbers n such that the smallest integer value >=0 of the form x^3-n^2 equals the smallest integer value >=0 of the form x^2-n^3. |
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+0
1
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| 1, 64, 68, 120, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000, 1771561, 2985984, 4826809, 7529536, 11390625, 16777216, 24137569, 34012224, 47045881, 64000000, 85766121, 113379904
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OFFSET
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1,2
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COMMENT
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If n is power of 6 (n is in A001014(k)), n is in the sequence but there are some other kind of values as 68 = 2^2*17.
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FORMULA
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Numbers n such that ceil(n^(2/3))^3-n^2 = ceil(n^(3/2))^2-n^3.
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MATHEMATICA
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Do[ If[ Ceiling[n^(3/2)]^2 + n^2 == Ceiling[n^(2/3)]^3 + n^3, Print[n]], {n, 1, 5*10^6}]
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PROGRAM
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(PARI) for(n=1, 130000, if(ceil(n^(3/2))^2-n^3==ceil(n^(2/3))^3-n^2, print1(n, ", ")))
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CROSSREFS
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Sequence in context: A073327 A123994 A135124 this_sequence A095533 A044864 A057371
Adjacent sequences: A070928 A070929 A070930 this_sequence A070932 A070933 A070934
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 20 2002
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), May 27 2002
More terms from Lambert Klasen (lambert.klasen(AT)gmx.de), Dec 23 2004
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