

A227453


Numbers k such that the distance to the largest square less than k is a multiple of 4.


2



8, 13, 20, 24, 29, 33, 40, 44, 48, 53, 57, 61, 68, 72, 76, 80, 85, 89, 93, 97, 104, 108, 112, 116, 120, 125, 129, 133, 137, 141, 148, 152, 156, 160, 164, 168, 173, 177, 181, 185, 189, 193, 200, 204, 208, 212, 216, 220, 224, 229, 233, 237, 241, 245, 249, 253, 260, 264, 268, 272, 276, 280
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OFFSET

1,1


COMMENTS

Apparently a bisection of A079896. While it may not be difficult to prove that the sequence is a subsequence of A079896, the apparent fact that a(n) = A079896(2n1) is by no means obvious.


LINKS



EXAMPLE

8  2^2 = 1*4 and 24  4^2 = 2*4 so 8 and 24 are in the sequence.


MATHEMATICA

lsm4Q[n_]:=Module[{s=Floor[Sqrt[n]]^2}, s<n&&Divisible[ns, 4]]; Select[ Range[300], lsm4Q] (* Harvey P. Dale, Jun 20 2014 *)


PROG

(PARI) is(n)=(nsqrtint(n1)^2)%4==0


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



