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A033811 Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 2. 2

%I

%S 3,10,24,49,92,164,283,478,796,1313,2152,3512,5715,9282,15056,24401,

%T 39524,63996,103595,167670,271348,439105,710544,1149744,1860387,

%U 3010234,4870728,7881073,12751916,20633108

%N Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 2.

%D W. Lang in: "Applications of Fibonacci Numbers", Vol. 7, p. 235, eds.: G. E. Bergum et al., Kluwer, Dordrecht, 1998

%F a(n)=L(5)*(F(n+1)-1)+L(4)*F(n)-L(3)*n, F(n): Fibonacci (A000045). G.F. x*(3+x)/((1-x-x^2)*(1-x)^2)

%Y A000045, A000032.

%K easy,nonn

%O 1,1

%A _Wolfdieter Lang_

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Last modified April 6 08:44 EDT 2020. Contains 333268 sequences. (Running on oeis4.)