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A065612 Square roots of terms in A065611. 2
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; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Square root of n^2+[a special shortest square-sum] which is also square.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,500

FORMULA

a(n) = Sqrt[A065611(n)] = Sqrt[n^2+A000330[A065610(n)]]

EXAMPLE

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]

PROG

(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]

CROSSREFS

Cf. A000330, A065310-A065315.

Sequence in context: A204071 A089273 A035832 * A088264 A068557 A031901

Adjacent sequences:  A065609 A065610 A065611 * A065613 A065614 A065615

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 07 2001

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Last modified February 17 05:54 EST 2012. Contains 205985 sequences.