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A004799
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Self convolution of Lucas numbers 1,3,4,7,...
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8
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1, 6, 17, 38, 80, 158, 303, 566, 1039, 1880, 3364, 5964, 10493, 18342, 31885, 55162, 95032, 163114, 279051, 475990, 809771, 1374316, 2327372, 3933528, 6636025, 11176518, 18794633, 31560206, 52925984, 88646390, 148303719, 247841654
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = A060922(n, 1) (second column of Lucas triangle). a(n) = ((-4+5*n)*L(n+1)+2*L(n))/5 with L(n) = A000032(n) = A000204(n), n >= 1. G.f.: x*((1+2*x)/(1-x-x^2))^2. - Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 24 2001
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MAPLE
| a:= n-> (Matrix([[17, 6, 1, 0]]). Matrix(4, (i, j)-> if i=j-1 then 1 elif j=1 then [2, 1, -2, -1][i] else 0 fi)^n) [1, 4]: seq (a(n), n=1..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 28 2008]
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CROSSREFS
| Cf. A000204.
Sequence in context: A023621 A000385 A192756 * A085278 A080275 A061349
Adjacent sequences: A004796 A004797 A004798 * A004800 A004801 A004802
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 28 2008
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