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A194411 Numbers m such that Sum_{k=1..m} (<1/3 + k*r> - <k*r>) < 0, where r=sqrt(2) and < > denotes fractional part. 5
2, 14, 26, 38, 41, 43, 44, 50, 53, 55, 56, 62, 65, 67, 68, 70, 71, 72, 73, 74, 77, 79, 80, 82, 83, 84, 85, 86, 89, 91, 92, 94, 95, 96, 97, 98, 101, 113, 125, 137, 140, 142, 143, 149, 152, 154, 155, 161, 164, 166, 167, 212, 224, 236, 239, 241, 242, 248, 251 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A194368.
LINKS
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
Sequence in context: A285990 A174594 A051222 * A017545 A280268 A109080
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 24 2011
STATUS
approved

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Last modified July 18 05:05 EDT 2024. Contains 374377 sequences. (Running on oeis4.)