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 A194322 Triangular array:  g(n,k)=number of fractional parts (i*sqrt(1/2)) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n. 2
 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 2, 3, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194285. LINKS EXAMPLE First ten rows: 2 2..2 2..2..2 2..1..3..2 2..2..2..2..2 2..1..3..2..3..1 2..2..2..2..2..2..2 2..2..2..2..2..2..2..2 2..3..1..2..3..1..2..3..2..1 MATHEMATICA r = Sqrt[1/2]; f[n_, k_, i_] := If[(k - 1)/n <= FractionalPart[i*r] < k/n, 1, 0] g[n_, k_] := Sum[f[n, k, i], {i, 1, 2n}] TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] Flatten[%]    (* A194322 *) CROSSREFS Cf. A194285. Sequence in context: A190311 A117005 A263204 * A052010 A138471 A102669 Adjacent sequences:  A194319 A194320 A194321 * A194323 A194324 A194325 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 22 2011 STATUS approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)