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 A194375 Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - ) > 0, where r=sqrt(5) and < > denotes fractional part. 3
 1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194368. LINKS MATHEMATICA r = Sqrt[5]; c = 1/2; 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, 500}]; Flatten[Position[t1, 1]] (* empty *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 400}]; Flatten[Position[t2, 1]] (* A194374 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}]; Flatten[Position[t3, 1]] (* A194375 *) CROSSREFS Cf. A194368, A194375. Sequence in context: A098572 A001955 A184480 * A188222 A329990 A109237 Adjacent sequences: A194372 A194373 A194374 * A194376 A194377 A194378 KEYWORD nonn AUTHOR Clark Kimberling, Aug 23 2011 STATUS approved

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Last modified March 30 11:15 EDT 2023. Contains 361618 sequences. (Running on oeis4.)