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A068180
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(Product_{i=1..4} (x+i)) / (Product_{i=1..4} (x-i)) = Sum_{n>=1} a(n)/A067419(n)*x^n.
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1
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1, 25, 625, 11095, 164125, 2201575, 28021525, 346791295, 4228592125, 51161968375, 616523997925, 7414045240495, 89064205082125, 1069348964379175, 12835676881182325, 154049132081273695
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OFFSET
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1,2
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LINKS
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FORMULA
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Lim_{n->infinity} a(n)/A067419(n) = 20.
For n > 1, a(n) = (5/6)*12^n - (15/2)*6^n + (35/2)*4^n - (35/3)*3^n. - Ralf Stephan, May 08 2004
G.f.: x*(864*x^4 + 210*x^2 + 1) / ((3*x-1)*(4*x-1)*(6*x-1)*(12*x-1)). - Colin Barker, Jun 17 2013
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MATHEMATICA
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LinearRecurrence[{25, -210, 720, -864}, {1, 25, 625, 11095, 164125}, 30] (* Harvey P. Dale, Oct 28 2015 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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