A194143 Sum{floor(j*(3+sqrt(3))/2) : 1<=j<=n}; n-th partial sum of Beatty sequence for (3+sqrt(3))/2.

2, 6, 13, 22, 33, 47, 63, 81, 102, 125, 151, 179, 209, 242, 277, 314, 354, 396, 440, 487, 536, 588, 642, 698, 757, 818, 881, 947, 1015, 1085, 1158, 1233, 1311, 1391, 1473, 1558, 1645, 1734, 1826, 1920, 2017, 2116, 2217, 2321, 2427, 2535, 2646, 2759

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

c[n_] := Sum[Floor[j*(3+Sqrt[3])/2], {j, 1, n}];
c = Table[c[n], {n, 1, 90}]
Accumulate[Floor[(3+Sqrt[3])/2 Range[50]]] (* Harvey P. Dale, Apr 18 2022 *)

Crossrefs

Cf. A054406 (Beatty sequence for (3+sqrt(3))/2).

Sequence in context: A215246 A230537 A267874 * A194138 A194137 A226292

Adjacent sequences: A194140 A194141 A194142 * A194144 A194145 A194146

Keyword

nonn

Author

Clark Kimberling, Aug 17 2011

Status

approved