Search: id:A033811
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%I A033811
%S A033811 3,10,24,49,92,164,283,478,796,1313,2152,3512,5715,9282,15056,24401,
%T A033811 39524,63996,103595,167670,271348,439105,710544,1149744,1860387,
%U A033811 3010234,4870728,7881073,12751916,20633108
%N A033811 Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) 
               for k >= 2.
%D A033811 W. Lang in: "Applications of Fibonacci Numbers", Vol. 7, p. 235, eds.: 
               G. E. Bergum et al., Kluwer, Dordrecht, 1998
%F A033811 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 A033811 A000045, A000032.
%Y A033811 Sequence in context: A041327 A029880 A144413 this_sequence A062446 A053208 
               A162607
%Y A033811 Adjacent sequences: A033808 A033809 A033810 this_sequence A033812 A033813 
               A033814
%K A033811 easy,nonn
%O A033811 1,1
%A A033811 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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