[go: up one dir, main page]

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

%I #9 Feb 20 2022 08:18:26

%S 2,1,-1,1,-1,0,5,-20,55,-125,251,-462,803,-1364,2365,-4367,8735,

%T -18564,40409,-87380,184603,-379049,758099,-1486674,2884775,-5592404,

%U 10919089,-21572459,43144919,-87087000,176565485,-357913940,723002335,-1453179125,2906358250

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

%H Clark Kimberling, <a href="/A325674/b325674.txt">Table of n, a(n) for n = 1..199</a>

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

%Y Cf. A022842, A325664, A325675.

%K easy,sign

%O 1,1

%A _Clark Kimberling_, May 15 2019