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Search: id:A081714
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| A081714 |
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F(n)L(n+1) where F=Fibonacci and L=Lucas numbers. |
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+0
4
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| 0, 3, 4, 14, 33, 90, 232, 611, 1596, 4182, 10945, 28658, 75024, 196419, 514228, 1346270, 3524577, 9227466, 24157816, 63245987, 165580140, 433494438, 1134903169, 2971215074, 7778742048, 20365011075, 53316291172
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Also convolution of Fibonacci and Lucas numbers.
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FORMULA
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G.f.: x(3-2x)/((1+x)(1-3x+x^2)).
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PROGRAM
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(PARI) for(n=0, 50, print1(polcoeff(serconvol(Ser((1+2*x)/(1-x-x*x)), Ser(x/(1-x-x*x))), n)", "))
(PARI) a(n)=fibonacci(n)*(fibonacci(n+2)+fibonacci(n))
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CROSSREFS
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Cf. A000045, A000204.
Adjacent sequences: A081711 A081712 A081713 this_sequence A081715 A081716 A081717
Sequence in context: A110565 A057433 A006074 this_sequence A117718 A086826 A130409
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KEYWORD
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nonn,easy
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AUTHOR
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Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 03 2003
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EXTENSIONS
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Simpler definition from Michael Somos, Mar 16 2004
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