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A194407
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Numbers n such that sum{<1/2+k*e>-<k*e> : 1<=k<=n}>0 and < > denotes fractional part.
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4
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3, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 31, 35, 39, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 63, 67, 81, 85, 87, 88, 89, 91, 92, 93, 95, 99, 113, 117, 119, 120, 121, 123, 124, 125, 127
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OFFSET
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1,1
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COMMENTS
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See A194368.
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LINKS
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Table of n, a(n) for n=1..64.
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A194368.
Sequence in context: A169968 A082768 A037372 * A097475 A177732 A081339
Adjacent sequences: A194404 A194405 A194406 * A194408 A194409 A194410
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Aug 24 2011
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STATUS
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approved
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