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%I #18 Oct 03 2019 03:08:13
%S 0,1,1,3,4,5,6,8,8,9,10,12,14,15,16,17,17,20,21,20,22,28,23,27,29,31,
%T 28,32,35,30,38,38,39,41,35,43,43,46,46,44,49,49,52,52,54,59,52,56,57,
%U 64,60,61,66,62,63,69,67,73,70,70,75,76,75,78,78,79,85,82
%N a(n) is the number of positive integers k such that some nontrivial multiple of sqrt(k) falls strictly between n and n+1.
%C "Nontrivial multiple" means a multiplier greater than 1.
%C Number of nontrivial multiples of squares between (exclusive) n^2 and (n+1)^2. - _David A. Corneth_, Oct 03 2019
%H Peter Kagey, <a href="/A327953/b327953.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = A327952(n) - 2*n.
%e For n = 6 the a(6) = 5 values of k are
%e k = 3 with 6 < 4*sqrt(3) < 7,
%e k = 5 with 6 < 3*sqrt(5) < 7,
%e k = 10 with 6 < 2*sqrt(10) < 7,
%e k = 11 with 6 < 2*sqrt(11) < 7, and
%e k = 12 with 6 < 2*sqrt(12) < 7.
%Y Cf. A261865, A327952.
%K nonn
%O 1,4
%A _Peter Kagey_, Oct 01 2019
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