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 A194332 Triangular array:  g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n, r=2-sqrt(3). 2
 2, 2, 2, 3, 3, 2, 4, 5, 3, 4, 6, 7, 7, 6, 6, 12, 10, 10, 12, 10, 10, 18, 19, 19, 18, 18, 18, 18, 32, 31, 34, 31, 33, 31, 32, 32, 57, 58, 57, 57, 56, 57, 57, 57, 56, 103, 102, 103, 103, 102, 103, 102, 101, 104, 101, 186, 186, 187, 187, 186, 186, 186, 186, 186, 186 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194285. LINKS EXAMPLE First eight rows: 2 2...2 3...3...2 4...5...3...4 6...7...7...6...6 12..10..10..12..10..10 18..19..19..18..18..18..18 32..31..34..31..33..31..32..32 MATHEMATICA r = 2-Sqrt[3]; 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, 2^n}] TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] Flatten[%]    (* A194332 *) CROSSREFS Cf. A194285. Sequence in context: A110534 A194340 A194288 * A322062 A071451 A177868 Adjacent sequences:  A194329 A194330 A194331 * A194333 A194334 A194335 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 22 2011 STATUS approved

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Last modified December 1 16:44 EST 2021. Contains 349430 sequences. (Running on oeis4.)