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A145848
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Squares with an even number of digits, where the first half is a square and the second half is a non-zero square.
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4
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49, 1681, 144400, 225625, 256036, 324900, 576081, 24019801, 1299602500, 1587624025, 2371690000, 2496401296, 2528178961, 2924105625, 3132976729, 5198410000, 5616902916, 6350496100, 8122515625, 9985605184, 249001998001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Jon E. Schoenfield, Table of n, a(n) for n=1,...,221 [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Nov 17 2008]
Four Puzzles for the Price of One - from the 1997 USSR math olympiad
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EXAMPLE
| 1681 is a square, where the first two digits form a square and the last two digits form a nonzero square.
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MATHEMATICA
| Flatten[Table[ Select[Flatten[ Table[FromDigits[ Join[IntegerDigits[i^2], PadLeft[IntegerDigits[j^2], n]]], {i, Floor[Sqrt[10^(n - 1)]], Floor[Sqrt[10^n - 1]]}, {j, Floor[Sqrt[10^n - 1]]}]], IntegerQ[Sqrt[ # ]] &], {n, 5}]]
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CROSSREFS
| Sequence in context: A088068 A140394 A008843 * A014942 A065785 A163927
Adjacent sequences: A145845 A145846 A145847 * A145849 A145850 A145851
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KEYWORD
| nonn,base
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AUTHOR
| Tanya Khovanova (tanyakh(AT)yahoo.com), Oct 21 2008
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EXTENSIONS
| More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Nov 17 2008
Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Aug 02 2010
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