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Search: id:A065612
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| 1, 189, 3, 8, 12276, 39, 41454, 62, 43, 30, 47, 689, 23, 342, 20, 647955, 786384, 60, 433, 1316871, 104, 41, 2358, 45, 31, 38, 31, 28, 203, 4682601, 5183910, 736, 53, 38012, 36, 8231895, 41, 9725265, 123, 11389131, 205, 50, 302, 102, 61, 46, 49, 108
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Square root of n^2+[a special shortest square-sum] which is also square.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,500
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FORMULA
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a(n) = Sqrt[A065611(n)] = Sqrt[n^2+A000330[A065610(n)]]
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EXAMPLE
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n = 10: a(10) = Sqrt[100+A000330[A065610(10)]] = Sqrt[100+(1+4+...+18^2)] = Sqrt[100+(18.19.37/6)] = Sqrt[100+2109] = 47 = a[10]
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PROGRAM
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(PARI) { for (n = 0, 500, s=n^2 + 1; k=1; while (!issquare(s), k++; s+=k^2); write("b065612.txt", n, " ", sqrtint(s)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 24 2009]
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CROSSREFS
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Cf. A000330, A065310-A065315.
Sequence in context: A064115 A089273 A035832 this_sequence A088264 A068557 A031901
Adjacent sequences: A065609 A065610 A065611 this_sequence A065613 A065614 A065615
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 07 2001
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