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 A194376 Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - ) = 0, where r=sqrt(6) and < > denotes fractional part. 3
 2, 4, 6, 8, 20, 22, 24, 26, 28, 40, 42, 44, 46, 48, 60, 62, 64, 66, 68, 80, 82, 84, 86, 88, 198, 200, 202, 204, 206, 218, 220, 222, 224, 226, 238, 240, 242, 244, 246, 258, 260, 262, 264, 266, 278, 280, 282, 284, 286, 396, 398, 400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194368. LINKS MATHEMATICA r = Sqrt[6]; 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]]   (* A194376 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}]; Flatten[Position[t3, 1]]   (* A194377 *) CROSSREFS Cf. A194368, A194377. Sequence in context: A273892 A179082 A341869 * A062897 A014263 A169906 Adjacent sequences:  A194373 A194374 A194375 * A194377 A194378 A194379 KEYWORD nonn AUTHOR Clark Kimberling, Aug 23 2011 STATUS approved

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Last modified May 15 08:59 EDT 2021. Contains 343909 sequences. (Running on oeis4.)