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A017333
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a(n) = (10*n + 5)^5.
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2
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3125, 759375, 9765625, 52521875, 184528125, 503284375, 1160290625, 2373046875, 4437053125, 7737809375, 12762815625, 20113571875, 30517578125, 44840334375, 64097340625, 89466096875, 122298103125, 164130859375, 216699865625, 281950621875, 362050628125, 459401384375
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 3125*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6. - Colin Barker, Nov 14 2012
Sum_{n>=0} 1/a(n) = 31*zeta(5)/100000.
Sum_{n>=0} (-1)^n/a(n) = Pi^5/960000. (End)
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MATHEMATICA
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(10*Range[0, 20]+5)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {3125, 759375, 9765625, 52521875, 184528125, 503284375}, 20] (* Harvey P. Dale, May 15 2018 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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