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Search: id:A098532
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| A098532 |
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Sum of sixth powers of first n Fibonacci numbers. |
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+0
9
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| 0, 1, 2, 66, 795, 16420, 278564, 5105373, 90871494, 1635675910, 29316316535, 526297607496, 9442398055752, 169448124595321, 3040546683808010, 54560921044808010, 979052407236876819, 17568407254504944748
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OFFSET
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0,3
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FORMULA
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a(n)=(1/500)*(F(6n+1)+3*F(6n+2)-(-1)^n*(16*F(4n+1)+8*F(4n+2))-60*F(2n+1)+120*F(2n+2)-(-1)^n*40 where F(n)=A000045(n)
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PROGRAM
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(PARI) a(n)=sum(i=0, n, fibonacci(i)^6)
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CROSSREFS
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Cf. A001654, A005968, A005969, A098531, A098533.
Cf. A119287, A000071, A001654, A005968, A005969, A098531, A098533, A128697.
Adjacent sequences: A098529 A098530 A098531 this_sequence A098533 A098534 A098535
Sequence in context: A098089 A075809 A131472 this_sequence A069865 A092884 A119552
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 12 2004
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