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 A097719 a(n)=(a^n-b^n)/(a-b), where a=1.3802775690976141157... and b=-0.8191725133961644397... are the real roots of x^4-x^3-1=0. 0

%I #5 Mar 30 2012 17:34:14

%S 0,1,2,1,2,3,6,7,9,13,20,27,37,51,71,98,136,187,258,357,494,681,940,

%T 1298,1792,2474,3415,4714,6506,8981,12396,17110,23617,32599,44996,

%U 62107,85725,118324,163320,225427,311153,429477,592798,818226

%N a(n)=(a^n-b^n)/(a-b), where a=1.3802775690976141157... and b=-0.8191725133961644397... are the real roots of x^4-x^3-1=0.

%t NSolve[x^4 - x^3 - 1 == 0, x] b01 = 1.380277569097614 b11 = -0.8191725133961645 b21 = 0.2194474721492751 - 0.9144736629677264*I b31 = 0.2194474721492751 + 0.9144736629677264*I f[n_] := N[(b01^n - b11^n - b21^n - b31^n)/(b01 - b11 - b21 - b31)]; digits = 200 c = Table[Floor[Re[f[n]]], {n, 1, digits}]

%Y Cf. A001644.

%K nonn

%O 0,3

%A _Roger L. Bagula_, Sep 21 2004; corrected Oct 06 2004

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Last modified August 5 15:03 EDT 2024. Contains 374950 sequences. (Running on oeis4.)