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 A067614 floor(1/(sqrt(prime(n))-floor(sqrt(prime(n))))), where prime(n) is the n-th prime. 0
 2, 1, 4, 1, 3, 1, 8, 2, 1, 2, 1, 12, 2, 1, 1, 3, 1, 1, 5, 2, 1, 1, 9, 2, 1, 20, 6, 2, 2, 1, 3, 2, 1, 1, 4, 3, 1, 1, 1, 6, 2, 2, 1, 1, 28, 9, 1, 1, 15, 7, 3, 2, 1, 1, 32, 4, 2, 2, 1, 1, 1, 8, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 6, 3, 2, 1, 1, 1, 40, 4, 2, 1, 1, 1, 1, 21, 5, 2, 2, 1, 1, 1, 14, 6, 2, 2, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) is the second partial quotient in the simple continued fraction for sqrt(prime(n)). LINKS EXAMPLE For n=8, prime(n)=19, floor(sqrt(19))=4 and 1/(sqrt(19)-4) = 2.786..., so a(8)=2. MATHEMATICA a[n_] := Floor[1/(Sqrt[Prime[n]]-Floor[Sqrt[Prime[n]]])] CROSSREFS Sequence in context: A329900 A101261 A214057 * A341308 A113901 A062799 Adjacent sequences:  A067611 A067612 A067613 * A067615 A067616 A067617 KEYWORD nonn AUTHOR Roger L. Bagula, Feb 01 2002 EXTENSIONS Edited by Dean Hickerson, Feb 14 2002 STATUS approved

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Last modified May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)