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First term of n-th difference sequence of (round(k*sqrt(5))), k >= 0.
1

%I #4 Jun 09 2019 13:09:41

%S 2,0,1,-3,6,-10,16,-28,56,-120,256,-528,1056,-2080,4096,-8128,16256,

%T -32640,65535,-131308,262446,-523260,1039720,-2053600,4014856,

%U -7726160,14539590,-26553320,46611620,-77558760,119394740,-161230720,161230720,0,-623001635

%N First term of n-th difference sequence of (round(k*sqrt(5))), k >= 0.

%H Clark Kimberling, <a href="/A325842/b325842.txt">Table of n, a(n) for n = 1..200</a>

%t Table[First[Differences[Table[Round[Sqrt[5]*n], {n, 0, 50}], n]], {n, 1, 50}]

%Y Cf. A325664.

%K easy,sign

%O 1,1

%A _Clark Kimberling_, Jun 09 2019