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A325668 First term of n-th difference sequence of (floor(k*r)), r = sqrt(5), k >= 0. 3

%I #14 Feb 20 2022 08:15:13

%S 2,0,0,0,1,-5,15,-35,71,-135,255,-495,991,-2015,4095,-8255,16511,

%T -32895,65535,-130815,261630,-523753,1048322,-2096151,4183700,

%U -8324849,16480854,-32363019,62784774,-119759849,223346544,-404491999,705032194,-1166803109

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

%H Clark Kimberling, <a href="/A325668/b325668.txt">Table of n, a(n) for n = 1..200</a>

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

%Y Cf. A325664, A325669.

%Y Inverse binomial transform of A022839.

%K easy,sign

%O 1,1

%A _Clark Kimberling_, May 13 2019

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)