A194114 Sum{floor(j*sqrt(11)) : 1<=j<=n}; n-th partial sum of Beatty sequence for sqrt(11).

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

Links

Table of n, a(n) for n=1..47.

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

Adjacent sequences: A194111 A194112 A194113 * A194115 A194116 A194117

Keyword

nonn

Author

Clark Kimberling, Aug 16 2011

Status

approved