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A194405 Numbers m such that Sum_{k=1..m} (<1/2 + k*e> - <k*e>) < 0 where < > denotes fractional part. 4
1, 5, 33, 37, 65, 69, 71, 72, 73, 75, 76, 77, 79, 83, 97, 101, 103, 104, 105, 107, 108, 109, 111, 115, 129, 133, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 153, 154, 155, 157, 161, 165, 167, 168, 169, 171, 172, 173 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A194368.
LINKS
MATHEMATICA
r = E; 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, 200}];
Flatten[Position[t1, 1]] (* A194405 *)
t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 200}];
Flatten[Position[t2, 1]] (* A194406 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 200}];
Flatten[Position[t3, 1]] (* A194407 *)
CROSSREFS
Cf. A194368.
Sequence in context: A275233 A359971 A043068 * A299518 A338342 A135111
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 24 2011
STATUS
approved

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Last modified June 15 03:12 EDT 2024. Contains 373402 sequences. (Running on oeis4.)