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Sum{Floor(n*r^k): r=sqrt(3)-1, k>=0}.
0

%I #4 Feb 27 2023 08:08:32

%S 0,1,4,7,10,13,17,21,24,27,31,35,37,42,46,49,52,56,61,63,67,72,74,78,

%T 81,86,90,93,97,101,103,107,111,114,119,122,127,130,132,138,141,144,

%U 147,152,155,158,164,167,170,175,178,182,185,189,193,196,199,202,207,211

%N Sum{Floor(n*r^k): r=sqrt(3)-1, k>=0}.

%e a(3)=7=3+[3*r]+[3*r^2]+[3*r^3]+...

%Y Cf. A005187.

%K nonn

%O 0,3

%A _Clark Kimberling_, Aug 07 2003