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First term of n-th difference sequence of (floor(k*r)), r = sqrt(1/3), k >= 0.
2

%I #7 May 22 2019 22:57:05

%S 0,1,-2,4,-8,16,-31,56,-91,126,-126,0,462,-1715,4704,-11319,25186,

%T -52920,105840,-201684,364609,-618772,964173,-1309574,1309574,1,

%U -4970097,18874639,-52835258,129107566,-290081057,612479308,-1227418279,2343572690,-4261482736

%N First term of n-th difference sequence of (floor(k*r)), r = sqrt(1/3), k >= 0.

%H Clark Kimberling, <a href="/A325730/b325730.txt">Table of n, a(n) for n = 1..200</a>

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

%Y Cf. A325664.

%K easy,sign

%O 1,3

%A _Clark Kimberling_, May 19 2019