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A194114
Sum{floor(j*sqrt(11)) : 1<=j<=n}; n-th partial sum of Beatty sequence for sqrt(11).
1
3, 9, 18, 31, 47, 66, 89, 115, 144, 177, 213, 252, 295, 341, 390, 443, 499, 558, 621, 687, 756, 828, 904, 983, 1065, 1151, 1240, 1332, 1428, 1527, 1629, 1735, 1844, 1956, 2072, 2191, 2313, 2439, 2568, 2700, 2835, 2974, 3116, 3261, 3410, 3562, 3717
OFFSET
1,1
MATHEMATICA
c[n_] := Sum[Floor[j*Sqrt[11]], {j, 1, n}];
c = Table[c[n], {n, 1, 90}]
CROSSREFS
Cf. A171982 (Beatty sequence for sqrt(11)).
Sequence in context: A184969 A194113 A330010 * A127759 A064843 A093446
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 16 2011
STATUS
approved