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 A194330 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n, r=2-sqrt(3). 2
 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 3, 1, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 2, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194285. LINKS Table of n, a(n) for n=1..99. EXAMPLE First nine rows: 2 2..2 2..3..1 2..2..2..2 2..2..2..2..2 2..2..2..2..2..2 1..3..2..2..2..2..2 2..2..3..2..2..1..2..2 2..2..2..2..3..1..2..3..1 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, 2n}] TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] Flatten[%] (* A194330 *) CROSSREFS Cf. A194285. Sequence in context: A225538 A212355 A238646 * A280667 A194286 A063473 Adjacent sequences: A194327 A194328 A194329 * A194331 A194332 A194333 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 22 2011 STATUS approved

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Last modified May 18 11:35 EDT 2024. Contains 372623 sequences. (Running on oeis4.)