|
Search: id:A145848
|
|
|
| A145848 |
|
Squares with an even number of digits, where the first half is a square and the second half is a non-zero square. |
|
+0
4
|
|
| 49, 1681, 144400, 225625, 256036, 324900, 576081, 24019801, 1299602500, 1587624025, 2371690000, 2496401296, 2528178961, 2924105625, 3132976729, 5198410000, 5616902916, 6350496100, 8122515625, 9985605184, 249001998001
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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
|
|
EXAMPLE
|
1681 is a square, where the first two digits form a square and the last two digits form a nonzero square.
|
|
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}]]
|
|
CROSSREFS
|
Sequence in context: A069327 A088068 A008843 this_sequence A014942 A065785 A163927
Adjacent sequences: A145845 A145846 A145847 this_sequence A145849 A145850 A145851
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Tanya Khovanova (tanyakh(AT)yahoo.com), Oct 21 2008
|
|
EXTENSIONS
|
More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Nov 17 2008
|
|
|
Search completed in 0.002 seconds
|
