A325731 - OEIS

%I #12 Jul 20 2019 19:42:53

%S 0,1,-1,1,-1,0,5,-20,55,-125,250,-450,725,-1000,1000,1,-3642,13278,

%T -35344,81720,-174098,352716,-694904,1355322,-2652200,5245956,

%U -10491911,21097440,-42262518,83482620,-161013975,300338820,-536165400,903201960,-1401448500

%N First term of n-th difference sequence of (floor(k*r)), r = sqrt(2/3), k >= 0.

%H Clark Kimberling, <a href="/A325731/b325731.txt">Table of n, a(n) for n = 1..200</a>

%t Table[First[Differences[Table[Floor[Sqrt[2/3]*n], {n, 0, 50}], n]], {n, 1, 50}]

%Y Cf. A325664. Inverse binomial transform of A171974.

%K easy,sign

%O 1,7

%A _Clark Kimberling_, May 20 2019