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Sum{Floor(n*r^k): r=3/4, k>=0}.
0

%I #6 Feb 27 2023 08:08:52

%S 0,1,4,7,11,14,18,21,26,29,34,37,41,45,48,53,57,61,65,69,73,74,79,84,

%T 89,91,95,100,102,107,112,116,121,122,128,131,136,137,144,146,152,155,

%U 158,164,166,171,174,178,184,185,190,195,198,201,207,211,214,220,222,226

%N Sum{Floor(n*r^k): r=3/4, k>=0}.

%e a(3)=7=3+[3*3/4]+[3*9/16]+[3*27/64]+...

%t Table[Sum[Floor[n (3/4)^k],{k,0,n}],{n,0,60}] (* _Harvey P. Dale_, Jul 27 2020 *)

%Y Cf. A005187.

%K nonn

%O 0,3

%A _Clark Kimberling_, Aug 07 2003