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A089244 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. 0

%I #3 Oct 01 2013 17:57:54

%S 7,5,44,37,301,277,2425,2294,2085,18569,17960,164398,156173,152498,

%T 145864,1373605,1301889,1280368,12216944,11867816,11704114,11250879,

%U 109764259,105999788,101534616

%N 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.

%C The sum of the reciprocals = 0.40100980056022072540219852776239.. Converges rapidly.

%F floor( sqrt(1/x)*10^(floor(sqrt(x))) )

%o (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) }

%K easy,nonn

%O 2,1

%A _Cino Hilliard_, Dec 11 2003

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Last modified May 5 08:30 EDT 2024. Contains 372257 sequences. (Running on oeis4.)