A327952 a(n) is the number of positive integers k such that some multiple of sqrt(k) falls strictly between n and n+1.

2, 5, 7, 11, 14, 17, 20, 24, 26, 29, 32, 36, 40, 43, 46, 49, 51, 56, 59, 60, 64, 72, 69, 75, 79, 83, 82, 88, 93, 90, 100, 102, 105, 109, 105, 115, 117, 122, 124, 124, 131, 133, 138, 140, 144, 151, 146, 152, 155, 164, 162, 165, 172, 170, 173, 181, 181, 189, 188

Offset

1,1

Links

Peter Kagey, Table of n, a(n) for n = 1..10000

Example

For n = 4 the a(4) = 11 values of k are
k = 2 with 4 < 3*sqrt(2) < 5,
k = 5 with 4 < 2*sqrt(5) < 5,
k = 6 with 4 < 2*sqrt(6) < 5, and
k = 17, 18, ..., 24 with 4 < sqrt(k) < 5.

Crossrefs

Cf. A261865.

Sequence in context: A287004 A095272 A236762 * A099835 A133436 A363244

Adjacent sequences: A327949 A327950 A327951 * A327953 A327954 A327955

Keyword

nonn

Author

Peter Kagey, Oct 01 2019

Status

approved