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A194110
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Sum{floor(j*sqrt(5)) : 1<=j<=n}; n-th partial sum of Beatty sequence for sqrt(5).
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1
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2, 6, 12, 20, 31, 44, 59, 76, 96, 118, 142, 168, 197, 228, 261, 296, 334, 374, 416, 460, 506, 555, 606, 659, 714, 772, 832, 894, 958, 1025, 1094, 1165, 1238, 1314, 1392, 1472, 1554, 1638, 1725, 1814, 1905, 1998, 2094, 2192, 2292, 2394, 2499, 2606
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OFFSET
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1,1
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LINKS
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MAPLE
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ListTools:-PartialSums([seq(floor(n*sqrt(5)), n=1..100)]); # Robert Israel, May 24 2020
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MATHEMATICA
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c[n_] := Sum[Floor[j*Sqrt[5]], {j, 1, n}];
c = Table[c[n], {n, 1, 90}]
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CROSSREFS
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Cf. A022839 (Beatty sequence for sqrt(5)).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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