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First term of n-th difference sequence of (floor(k*r)), r = -sqrt(8), k >= 0.
3

%I #9 Feb 20 2022 08:19:00

%S -3,0,0,0,0,1,-6,21,-56,126,-252,463,-804,1365,-2366,4368,-8736,18565,

%T -40410,87381,-184604,379050,-758100,1486675,-2884776,5592405,

%U -10919090,21572460,-43144920,87087001,-176565486,357913941,-723002336,1453179126,-2906358251

%N First term of n-th difference sequence of (floor(k*r)), r = -sqrt(8), k >= 0.

%H Clark Kimberling, <a href="/A325675/b325675.txt">Table of n, a(n) for n = 1..200</a>

%t Table[First[Differences[Table[Floor[-Sqrt[8]*n], {n, 0, 30}], n]], {n, 0, 50}]

%Y Cf. A022842, A325664, A325674.

%K easy,sign

%O 1,1

%A _Clark Kimberling_, May 15 2019