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Search: id:A134043
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| A134043 |
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Complete list of solutions to y^2 = x^3 + 113; sequence gives y values. |
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+0
8
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OFFSET
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1,1
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COMMENT
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For corresponding x values see A134043.
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EXAMPLE
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a(1)^2 = 7^2 = 49 = A134042(1)^3 + 113 = -64 + 113.
a(2)^2 = 11^2 = 121 = A134042(2)^3 + 113 = 8 + 113.
a(3)^2 = 25^2 = 625 = A134042(3)^3 + 113 = 512 + 113.
a(4)^2 = 38^2 = 1444 = A134042(4)^3 + 113 = 1331+ 113.
a(5)^2 = 133^2 = 17689 = A134042(5)^3 + 113 = 17576 + 113.
a(6)^2 = 8669^2 = 75151561 = A134042(6)^3 + 113 = 75151448 + 113.
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MAPLE
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(Program does not produce first two terms) a = {}; Do[k = n^2 - (Floor[n^(2/3)])^3; If[(k > 112) && (k < 113), AppendTo[a, n]], {n, 1, 100000}]; a
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PROGRAM
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(MAGMA) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 113])) ]); /* adapted from A029727 */
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CROSSREFS
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Cf. A134042, A029727, A080761.
Sequence in context: A118072 A076855 A027830 this_sequence A102373 A002643 A039287
Adjacent sequences: A134040 A134041 A134042 this_sequence A134044 A134045 A134046
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KEYWORD
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nonn,fini,full
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 03 2007
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EXTENSIONS
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Edited and corrected by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 04 2007
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