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A167587
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The fifth row of the ED4 array A167584: 80*n^4 + 952*n^2 - 768*n + 525.
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3
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789, 4077, 13269, 33165, 70485, 133869, 233877, 382989, 595605, 888045, 1278549, 1787277, 2436309, 3249645, 4253205, 5474829, 6944277, 8693229, 10755285, 13165965, 15962709, 19184877, 22873749, 27072525, 31826325
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 80*n^4 + 952*n^2 - 768*n + 525. [Simplified by M. F. Hasler, Oct 08 2014]
G.f.: (525*z^4 - 300*z^3 + 774*z^2 + 132*z + 789)/(1-z)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5); a(1)=789, a(2)=4077, a(3)=13269, a(4)=33165, a(5)=70485. - Harvey P. Dale, Jul 21 2011
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MATHEMATICA
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Table[80n^4+952n^2-768n+525, {n, 30}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {789, 4077, 13269, 33165, 70485}, 30] (* Harvey P. Dale, Jul 21 2011 *)
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PROG
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(PARI) a(n)=80*n^4+952*n^2-768*n+525 \\ M. F. Hasler, Oct 08 2014
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CROSSREFS
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Equals the fifth row of the ED4 array A167584.
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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