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Search: id:A033811
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| A033811 |
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Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 2. |
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+0
3
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| 3, 10, 24, 49, 92, 164, 283, 478, 796, 1313, 2152, 3512, 5715, 9282, 15056, 24401, 39524, 63996, 103595, 167670, 271348, 439105, 710544, 1149744, 1860387, 3010234, 4870728, 7881073, 12751916, 20633108
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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W. Lang in: "Applications of Fibonacci Numbers", Vol. 7, p. 235, eds.: G. E. Bergum et al., Kluwer, Dordrecht, 1998
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FORMULA
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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)
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CROSSREFS
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A000045, A000032.
Sequence in context: A041327 A029880 A144413 this_sequence A062446 A053208 A162607
Adjacent sequences: A033808 A033809 A033810 this_sequence A033812 A033813 A033814
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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