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Partial sums of A194241.
2

%I #5 Mar 30 2012 18:57:42

%S 0,1,2,3,5,7,10,14,18,23,28,33,39,45,51,58,66,74,83,92,102,112,123,

%T 134,145,157,170,183,197,212,227,243,259,275,292,309,327,346,365,385,

%U 405,425,446,467,488,510,532,555,579,603,628,653,678,704,730,757

%N Partial sums of A194241.

%t r = (1+Sqrt[3])/2;

%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]

%t Table[a[n], {n, 1, 90}] (* A194241 *)

%t s[n_] := Sum[a[k], {k, 1, n}]

%t Table[s[n], {n, 1, 100}] (* A194242 *)

%Y Cf. A194241.

%K nonn

%O 1,3

%A _Clark Kimberling_, Aug 20 2011