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Search: id:A067977
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| A067977 |
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Convolution of Fibonacci F(n+1), n>=0, with F(n+9), n>=0. |
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+0
3
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| 34, 89, 212, 445, 890, 1712, 3212, 5911, 10720, 19215, 34116, 60096, 105158, 182965, 316780, 546113, 937918, 1605424, 2739760, 4662995, 7916984, 13412019, 22675272, 38265600, 64465450, 108433937
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Ninth diagonal of A067330. Ninth column of A067418.
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FORMULA
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a(n)= A067330(n+8, n) = A067418(n+8, 8) = sum(F(k+1)*F(n+9-k), k=0..n), n>=0.
G.f.: (34+21*x)/(1-x-x^2)^2.
a(n)= ((123*n+5*34)*F(n+1)+76*(n+1)*F(n))/5, F(n) := A000045(n) (Fibonacci); 34=F(9), 76=L(9), 123=L(10), L(n) := A000204(n) (Lucas).
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CROSSREFS
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Adjacent sequences: A067974 A067975 A067976 this_sequence A067978 A067979 A067980
Sequence in context: A046764 A086005 A140602 this_sequence A044221 A044602 A044285
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002
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