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 A194422 Numbers m such that Sum_{k=1..m} (<2/3 + k*r> - ) < 0, where r=sqrt(2) and < > denotes fractional part. 5
 1, 2, 4, 7, 13, 14, 16, 19, 25, 26, 28, 31, 43, 55, 67, 70, 71, 72, 73, 74, 76, 77, 79, 82, 83, 84, 85, 86, 88, 89, 91, 94, 95, 96, 97, 98, 100, 101, 103, 106, 112, 113, 115, 118, 124, 125, 127, 130, 142, 154, 166, 241, 253, 265, 310, 311, 313, 316, 322, 323 (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..2687 MATHEMATICA r = Sqrt[2]; c = 2/3; 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, 300}]; Flatten[Position[t1, 1]]         (* A194422 *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 300}]; Flatten[Position[t2, 1]]         (* A194423 *) %/3                              (* A194424 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 300}]; Flatten[Position[t3, 1]]         (* A194425 *) CROSSREFS Cf. A194368. Sequence in context: A217595 A280028 A094271 * A177101 A018414 A002152 Adjacent sequences:  A194419 A194420 A194421 * A194423 A194424 A194425 KEYWORD nonn AUTHOR Clark Kimberling, Aug 24 2011 STATUS approved

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Last modified November 29 18:41 EST 2021. Contains 349416 sequences. (Running on oeis4.)