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

%I #14 Feb 20 2022 07:50:33

%S 1,1,-1,0,3,-9,19,-35,63,-119,239,-495,1023,-2079,4158,-8239,16247,

%T -31823,61402,-115291,207669,-352715,550429,-748143,748143,1,-2848367,

%U 10897033,-30955333,77558760,-181129041,404458737,-875889377,1855921144,-3870685665

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

%H Clark Kimberling, <a href="/A325666/b325666.txt">Table of n, a(n) for n = 1..200</a>

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

%Y Cf. A325664, A325667.

%K easy,sign

%O 1,5

%A _Clark Kimberling_, May 13 2019