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A039685 Numbers n such that n^2 ends in 444. +0
1
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)
OFFSET

1,1

COMMENT

No square can end in more than three 4's.

REFERENCES

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.

FORMULA

a(2n+1)=500n+38 and a(2n+2)=500n-38.

MATHEMATICA

Drop[ Flatten[ Table[{500n-38, 500n+38}, {n, 0, 21}]], 1] (from Robert G. Wilson v Nov 27 2004)

CROSSREFS

Sequence in context: A156661 A155193 A159943 this_sequence A006418 A160317 A088891

Adjacent sequences: A039682 A039683 A039684 this_sequence A039686 A039687 A039688

KEYWORD

nonn,base

AUTHOR

Felice Russo (felice.russo(AT)katamail.com)

EXTENSIONS

More terms from Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 15 1999.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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