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Search: id:A098533
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| A098533 |
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Sum of seventh powers of first n Fibonacci numbers. |
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+0
9
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| 0, 1, 2, 130, 2317, 80442, 2177594, 64926111, 1866014652, 54389364796, 15768245991, 71, 45808159494700, 1329726624043564, 38611060907763141, 1121015217730946894, 32548443577940946894, 945021540449512861377
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n)=(1/79750)*(88*F(7n+1)+198*F(7n+2)-( -1)^n*(1218*F(5n+1)+812*F(5n+2))+6699*F(3n+2)-(-1)^n*(44660*F(n+1) -22330*F(n+2))+17375) where F(n)=A000045(n)
a(n+9)=22*a(n+8)+252*a(n+7)-1365*a(n+6)+728*a(n+5) -2912*a(n+4)+819*a(n+3)-294*a(n+2)+20*a(n+1)+a(n)
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PROGRAM
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(PARI) a(n)=sum(i=0, n, fibonacci(i)^7)
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CROSSREFS
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Cf. A001654, A005968, A005969, A098531, A098532.
Cf. A128696, A000071, A001654, A005968, A005969, A098531, A098532, A128697.
Adjacent sequences: A098530 A098531 A098532 this_sequence A098534 A098535 A098536
Sequence in context: A090121 A003369 A099824 this_sequence A117626 A125633 A089662
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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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