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a(n) = Sum_{j=1..n} floor(j*(3-sqrt(3))); n-th partial sum of Beatty sequence for 3-sqrt(3).
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%I #11 Dec 26 2023 09:44:35

%S 1,3,6,11,17,24,32,42,53,65,78,93,109,126,145,165,186,208,232,257,283,

%T 310,339,369,400,432,466,501,537,575,614,654,695,738,782,827,873,921,

%U 970,1020,1071,1124,1178,1233,1290,1348,1407,1467,1529,1592,1656

%N a(n) = Sum_{j=1..n} floor(j*(3-sqrt(3))); n-th partial sum of Beatty sequence for 3-sqrt(3).

%t c[n_] := Sum[Floor[j*(3-Sqrt[3])], {j, 1, n}];

%t c = Table[c[n], {n, 1, 90}]

%Y Partial sums of A182777.

%K nonn

%O 1,2

%A _Clark Kimberling_, Aug 17 2011