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Topic: nth non square (Read 966 times) |
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Ronno
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nth non square
« on: May 2nd, 2010, 1:11am » |
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Let x_n be the nth non square number, that is, the nth term in the sequence 2,3,5,6,7,8,10,11,12,13,...
(A000037 in Sloane's)
Prove that x_n is n+Floor(Sqrt(n)+0.5)
I recall that I read the proof somewhere but can't seem to remember either the derivation or its source.
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Ronno
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Re: nth non square
« Reply #1 on: Jul 19th, 2010, 2:15am » |
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I re derived this. I can give the proof if anyone is interested.
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