A095185 - OEIS

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A095185

a(n) = least k such that k*n^(1/2) differs from an integer by less than 1/n.

1, 1, 1, 1, 4, 2, 3, 6, 1, 6, 3, 2, 5, 4, 8, 1, 8, 4, 11, 17, 12, 13, 5, 10, 1, 10, 5, 24, 13, 21, 7, 3, 4, 6, 12, 1, 12, 6, 4, 37, 5, 25, 9, 30, 24, 23, 7, 14, 1, 14, 7, 19, 25, 23, 12, 29, 20, 13, 22, 4, 21, 8, 16, 1, 16, 8, 27, 65, 13, 30, 54, 68, 57, 5, 50, 39, 40, 6, 9, 18, 1, 18, 9, 6, 41

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OFFSET

1,5

COMMENTS

a(n)=1 for n = 2, 3 & square numbers. - Robert G. Wilson v, Jun 09 2004

LINKS

Table of n, a(n) for n=1..85.

MATHEMATICA

a[n_] := Block[{k = 1}, While[n*Abs[k*Sqrt[n] - Round[k*Sqrt[n]]] >= 1, k++ ]; k]; Table[ a[n], {n, 85}] (* Robert G. Wilson v, Jun 09 2004 *)

CROSSREFS

Sequence in context: A243961 A098317 A371325 * A128009 A072425 A361747

Adjacent sequences: A095182 A095183 A095184 * A095186 A095187 A095188