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A194761 Number of k such that {-k*log(2)} > {-n*log(2)}, where { } = fractional part.

%I A194761 #5 Mar 30 2012 18:57:44
%S A194761 0,0,0,3,2,1,6,4,2,9,6,3,0,10,6,2,14,9,4,18,12,6,22,15,8,1,20,12,4,25,
%T A194761 16,7,30,20,10,35,24,13,2,30,18,6,36,23,10,42,28,14,48,33,18,3,40,24,
%U A194761 8,47,30,13,54,36,18,61,42,23,4,50,30,10,58,37,16,66,44,22,74
%N A194761 Number of k such that {-k*log(2)} > {-n*log(2)}, where { } = fractional part.
%t A194761 r = -Log[2]; p[x_] := FractionalPart[x];
%t A194761 u[n_, k_] := If[p[k*r] <= p[n*r], 1, 0]
%t A194761 v[n_, k_] := If[p[k*r] > p[n*r], 1, 0]
%t A194761 s[n_] := Sum[u[n, k], {k, 1, n}]
%t A194761 t[n_] := Sum[v[n, k], {k, 1, n}]
%t A194761 Table[s[n], {n, 1, 100}]   (* A194760 *)
%t A194761 Table[t[n], {n, 1, 100}]   (* A194761 *)
%Y A194761 Cf. A194760, A194738.
%K A194761 nonn
%O A194761 1,4
%A A194761 _Clark Kimberling_, Sep 02 2011