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A194395 Numbers n such that sum{<1/2+k*r>-<k*r> : 1<=k<=n}<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

Table of n, a(n) for n=1..60.

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

Cf. A194368.

Sequence in context: A314667 A086408 A141135 * A162502 A004766 A016813

Adjacent sequences:  A194392 A194393 A194394 * A194396 A194397 A194398

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 23 2011

STATUS

approved

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Last modified November 22 08:46 EST 2019. Contains 329389 sequences. (Running on oeis4.)