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A194383 a(n) = (1/2) * A194382(n). 5
2, 3, 5, 6, 8, 9, 11, 12, 14, 15, 17, 20, 23, 26, 29, 32, 52, 55, 58, 61, 64, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 86, 88, 89, 91, 92, 94, 95, 97, 98, 100, 101, 102, 104, 105, 107, 108, 110, 111, 113, 114, 116, 117, 119, 122, 125, 128, 131, 134 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..62.

MATHEMATICA

r = Sqrt[8]; 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, 100}];

Flatten[Position[t1, 1]]   (* A194381 *)

t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 300}];

Flatten[Position[t2, 1]]   (* A194382 *)

%/2  (* A194383 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 600}];

Flatten[Position[t3, 1]]   (* A194384 *)

CROSSREFS

Cf. A194368, A194382.

Sequence in context: A332076 A248562 A117672 * A186326 A139364 A211265

Adjacent sequences:  A194380 A194381 A194382 * A194384 A194385 A194386

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 23 2011

STATUS

approved

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Last modified May 25 21:44 EDT 2022. Contains 354071 sequences. (Running on oeis4.)