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 A194306 Triangular array: g(n,k) = number of fractional parts (i*Pi) in interval [(k-1)/n, k/n], for 1 <= i <= 2n, 1 <= k <= n. 1
 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 0, 3, 3, 3, 1, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 2, 1, 3, 2, 0, 4, 1, 2, 3, 0, 3, 3, 0, 3, 3, 0, 4, 0, 4, 3, 1, 3, 0, 3, 1, 2, 3, 0, 4, 0, 4, 0, 4, 0, 4, 2, 2, 2, 1, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194285. LINKS EXAMPLE First nine rows:   3;   3, 1;   2, 2, 2;   2, 2, 2, 2;   2, 2, 3, 1, 2;   2, 2, 2, 2, 2, 2;   2, 2, 2, 2, 2, 2, 2;   1, 2, 3, 2, 2, 2, 2, 2;   0, 3, 3, 3, 1, 2, 2, 2, 2; MATHEMATICA r = Pi; 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}] TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] Flatten[%]    (* A194305 *) CROSSREFS Cf. A194285. Sequence in context: A214640 A224965 A194298 * A283325 A318438 A294233 Adjacent sequences:  A194303 A194304 A194305 * A194307 A194308 A194309 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 21 2011 STATUS approved

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Last modified June 24 07:26 EDT 2021. Contains 345416 sequences. (Running on oeis4.)