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 A194296 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=2^n, r=(1+sqrt(5))/2, the golden ratio. 2
 2, 2, 2, 3, 2, 3, 4, 4, 4, 4, 6, 6, 7, 7, 6, 10, 11, 10, 12, 10, 11, 19, 19, 17, 19, 19, 17, 18, 32, 33, 32, 31, 33, 32, 31, 32, 57, 57, 57, 56, 57, 58, 56, 58, 56, 102, 102, 103, 102, 102, 103, 102, 103, 103, 102, 187, 186, 187, 185, 185, 186, 187, 187, 186, 187 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194285. LINKS EXAMPLE First seven rows: 2 2...2 3...2...3 4...4...4...4 6...6...7...7...6 10..11..10..12..10..11 19..19..17..19..19..17..18 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, 2^n}] TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] Flatten[%] (* A194296 *) CROSSREFS Cf. A194285. Sequence in context: A178994 A306608 A143976 * A194336 A127159 A025128 Adjacent sequences: A194293 A194294 A194295 * A194297 A194298 A194299 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 21 2011 STATUS approved

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Last modified March 27 02:29 EDT 2023. Contains 361553 sequences. (Running on oeis4.)