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A194150 a(n) = Sum_{j=1..n} floor(j*(3+sqrt(5))); n-th partial sum of Beatty sequence for 3+sqrt(5). 0

%I #10 Jan 20 2024 14:07:56

%S 5,15,30,50,76,107,143,184,231,283,340,402,470,543,621,704,793,887,

%T 986,1090,1199,1314,1434,1559,1689,1825,1966,2112,2263,2420,2582,2749,

%U 2921,3099,3282,3470,3663,3861,4065,4274,4488,4707,4932,5162,5397

%N a(n) = Sum_{j=1..n} floor(j*(3+sqrt(5))); n-th partial sum of Beatty sequence for 3+sqrt(5).

%t c[n_] := Sum[Floor[j*(3+Sqrt[5])], {j, 1, n}];

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

%Y Cf. A001962 (Beatty sequence for 3+sqrt(5)).

%K nonn

%O 1,1

%A _Clark Kimberling_, Aug 17 2011

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Last modified May 6 23:32 EDT 2024. Contains 372298 sequences. (Running on oeis4.)