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Search: id:A039685
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| A039685 |
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Numbers n such that n^2 ends in 444. |
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+0
1
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| 38, 462, 538, 962, 1038, 1462, 1538, 1962, 2038, 2462, 2538, 2962, 3038, 3462, 3538, 3962, 4038, 4462, 4538, 4962, 5038, 5462, 5538, 5962, 6038, 6462, 6538, 6962, 7038, 7462, 7538, 7962, 8038, 8462, 8538, 8962, 9038, 9462, 9538, 9962, 10038, 10462
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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No square can end in more than three 4's.
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REFERENCES
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Albert H. Beiler, "Recreations in the Theory of Numbers", Dover Publ., 2nd Ed. 1966, Chapter XV, "On The Square", p. 139. ISBN 0-486-21096-0.
David Wells, "Curious and Interesting Numbers", Revised Ed. Penguin Books, p. 152. ISBN 0-14-026149-4.
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FORMULA
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a(2n+1)=500n+38 and a(2n+2)=500n-38.
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MATHEMATICA
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Drop[ Flatten[ Table[{500n-38, 500n+38}, {n, 0, 21}]], 1] (from Robert G. Wilson v Nov 27 2004)
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CROSSREFS
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Adjacent sequences: A039682 A039683 A039684 this_sequence A039686 A039687 A039688
Sequence in context: A124238 A020870 A007229 this_sequence A006418 A088891 A094034
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KEYWORD
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nonn,base
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AUTHOR
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Felice Russo (felice.russo(AT)katamail.com)
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EXTENSIONS
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More terms from Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 15 1999.
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