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A194395 Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - <k*r>) < 0, where r=sqrt(14) and < > denotes fractional part. 4
1, 5, 9, 13, 17, 21, 25, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 63, 67, 71, 75, 79, 83, 87, 121, 125, 129, 133, 137, 141, 145, 149, 151, 152, 153, 155, 156, 157, 159, 160, 161, 163, 164, 165, 167, 168, 169 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A194368.
LINKS
MATHEMATICA
r = Sqrt[14]; 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]] (* A194395 *)
t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 200}];
Flatten[Position[t2, 1]] (* A194396 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 300}];
Flatten[Position[t3, 1]] (* A194397 *)
CROSSREFS
Sequence in context: A086408 A141135 A363379 * A162502 A004766 A016813
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 23 2011
STATUS
approved

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Last modified April 14 07:30 EDT 2024. Contains 371655 sequences. (Running on oeis4.)