A327952 - OEIS

%I #16 Oct 03 2019 03:57:13

%S 2,5,7,11,14,17,20,24,26,29,32,36,40,43,46,49,51,56,59,60,64,72,69,75,

%T 79,83,82,88,93,90,100,102,105,109,105,115,117,122,124,124,131,133,

%U 138,140,144,151,146,152,155,164,162,165,172,170,173,181,181,189,188

%N a(n) is the number of positive integers k such that some multiple of sqrt(k) falls strictly between n and n+1.

%H Peter Kagey, <a href="/A327952/b327952.txt">Table of n, a(n) for n = 1..10000</a>

%e For n = 4 the a(4) = 11 values of k are

%e k = 2 with 4 < 3*sqrt(2) < 5,

%e k = 5 with 4 < 2*sqrt(5) < 5,

%e k = 6 with 4 < 2*sqrt(6) < 5, and

%e k = 17, 18, ..., 24 with 4 < sqrt(k) < 5.

%Y Cf. A261865.

%K nonn

%O 1,1

%A _Peter Kagey_, Oct 01 2019