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 A194413 (A194412)/3. 5
 1, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 36, 37, 38, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 61, 65, 69, 70, 71, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194368. LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 MATHEMATICA r = Sqrt[2]; c = 1/3; x[n_] := Sum[FractionalPart[k*r], {k, 1, n}] y[n_] := Sum[FractionalPart[c + k*r], {k, 1, n}] t1 = Table[If[y[n] < x[n], 1, 0], {n, 1, 200}]; Flatten[Position[t1, 1]]         (* A194411 *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 400}]; Flatten[Position[t2, 1]]         (* A194412 *) %/3                              (* A194413 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 150}]; Flatten[Position[t3, 1]]         (* A194414 *) CROSSREFS Cf. A194368, A194412. Sequence in context: A225048 A116590 A024355 * A183574 A184425 A276212 Adjacent sequences:  A194410 A194411 A194412 * A194414 A194415 A194416 KEYWORD nonn AUTHOR Clark Kimberling, Aug 24 2011 STATUS approved

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Last modified January 21 22:08 EST 2022. Contains 350480 sequences. (Running on oeis4.)