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A089244
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Integer part of square root of the reciprocal of a prime number multiplied by 10 to the power of the integer part of the square root of the number.
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0
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7, 5, 44, 37, 301, 277, 2425, 2294, 2085, 18569, 17960, 164398, 156173, 152498, 145864, 1373605, 1301889, 1280368, 12216944, 11867816, 11704114, 11250879, 109764259, 105999788, 101534616
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OFFSET
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2,1
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COMMENTS
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The sum of the reciprocals = 0.40100980056022072540219852776239.. Converges rapidly.
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LINKS
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FORMULA
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floor( sqrt(1/x)*10^(floor(sqrt(x))) )
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PROG
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(PARI) rootrecipp(n) = { sr=0; forprime(x=2, n, r =sqrt(x); ip=floor(r); fp=r-ip; y=floor((1/r)*10^ip); print1(y", "); sr = sr + 1.0/y; ); print(); print(sr) }
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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