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Search: id:A000446
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| A000446 |
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Smallest number that is the sum of 2 squares (allowing zeros) in exactly n ways. |
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+0
5
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| 0, 25, 325, 1105, 4225, 5525, 203125, 27625, 71825, 138125, 2640625, 160225, 17850625, 1221025, 1795625, 801125, 1650390625, 2082925, 49591064453125, 4005625, 44890625, 2158203125, 30525625, 5928325, 303460625, 53955078125
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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See A124980 for another version. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2008
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LINKS
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Index entries for sequences related to sums of squares
G. Xiao, Two squares
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EXAMPLE
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a(1) = 0 because 0 is the smallest integer which is uniquely a unique sum of two squares, namely 0^2 + 0^2.
a(2) = 25 from 25 = 5^2 + 0 ^2 = 3^2 + 4^2.
a(3) = 325 from 325 = 1^2 + 18^2 = 6^2 + 17^2 = 10^2 + 15^2.
a(4) = 1105 from 1105 = 4^2 + 33^2 = 9^2 + 32^2 = 12^2 + 31^2 = 23^2 + 24^2.
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CROSSREFS
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See A016032 for another version.
Sequence in context: A020319 A000448 A124980 this_sequence A079875 A010977 A022589
Adjacent sequences: A000443 A000444 A000445 this_sequence A000447 A000448 A000449
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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Better description and more terms from David W. Wilson (davidwwilson(AT)comcast.net) Aug 15 1996.
Definition improved by several correspondents, Nov 12 2007
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