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 A194294 Triangular array:  g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=2n, r=(1+sqrt(5))/2, the golden ratio. 2
 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194285. LINKS EXAMPLE First nine rows: 2 2..2 2..2..2 2..2..2..2 2..2..2..2..2 1..3..2..2..2..2 2..2..2..2..3..2..1 2..2..2..2..2..2..2..2 2..2..3..1..2..3..1..3..1 MATHEMATICA r = GoldenRatio; 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[%]    (* A194294 *) CROSSREFS Cf. A194285, A194293. Sequence in context: A044926 A074264 A194302 * A263110 A044927 A343643 Adjacent sequences:  A194291 A194292 A194293 * A194295 A194296 A194297 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 21 2011 STATUS approved

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Last modified May 11 15:11 EDT 2021. Contains 343791 sequences. (Running on oeis4.)