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Greatest integer k such that k/n^2 < e.
3

%I #4 Oct 12 2017 16:16:49

%S 0,2,10,24,43,67,97,133,173,220,271,328,391,459,532,611,695,785,880,

%T 981,1087,1198,1315,1437,1565,1698,1837,1981,2131,2286,2446,2612,2783,

%U 2960,3142,3329,3522,3721,3925,4134,4349,4569,4795,5026,5262,5504,5751,6004

%N Greatest integer k such that k/n^2 < e.

%H Clark Kimberling, <a href="/A293412/b293412.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = floor(e*n^2).

%F a(n) = A293413(n) - 1 for n > 0.

%t z = 120; r = E;

%t Table[Floor[r*n^2], {n, 0, z}]; (* A293412 *)

%t Table[Ceiling[r*n^2], {n, 0, z}]; (* A293413 *)

%t Table[Round[r*n^2], {n, 0, z}]; (* A293414 *)

%Y Cf. A001113, A293413, A293414.

%K nonn,easy

%O 0,2

%A _Clark Kimberling_, Oct 12 2017