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 A194299 Triangular array:  g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n, r=(1+sqrt(3))/2. 2
 1, 3, 1, 3, 3, 3, 4, 5, 3, 4, 6, 5, 5, 5, 4, 6, 6, 7, 5, 7, 5, 7, 7, 7, 8, 6, 8, 6, 9, 8, 8, 9, 7, 8, 8, 7, 9, 8, 10, 8, 10, 9, 9, 9, 9, 10, 10, 10, 11, 10, 10, 10, 10, 10, 9, 10, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 13, 12, 11, 13, 12, 12, 11, 13, 12, 12, 12, 13, 14, 13 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194285. LINKS EXAMPLE First eight rows: 1 3..1 3..3..3 4..5..3..4 6..5..5..5..4 6..6..7..5..7..5 7..7..7..8..6..8..6 9..8..8..9..7..8..8..7 MATHEMATICA r = (1+Sqrt[3])/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, n^2}] TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] Flatten[%]    (* A194299 *) CROSSREFS Cf. A194285. Sequence in context: A024163 A029155 A042951 * A029154 A211974 A136297 Adjacent sequences:  A194296 A194297 A194298 * A194300 A194301 A194302 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 21 2011 STATUS approved

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Last modified August 3 02:32 EDT 2021. Contains 346430 sequences. (Running on oeis4.)