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A017109
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a(n) = (8*n+3)^9.
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1
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19683, 2357947691, 322687697779, 7625597484987, 78815638671875, 502592611936843, 2334165173090451, 8662995818654939, 27206534396294947, 75084686279296875, 186940255267540403, 427929800129788411
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
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FORMULA
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a(0)=19683, a(1)=2357947691, a(2)=322687697779, a(3)=7625597484987, a(4)=78815638671875, a(5)=502592611936843, a(6)=2334165173090451, a(7)=8662995818654939, a(8)=27206534396294947, a(9)=75084686279296875; for n>9, a(n)=10*a(n-1)-45*a(n-2)+120*a(n-3)-210*a(n-4)+252*a(n-5)- 210*a(n-6)+ 120*a(n-7)-45*a(n-8)+10*a(n-9)-a(n-10). - Harvey P. Dale, Apr 16 2015
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MATHEMATICA
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(Range[0, 20]+3)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {19683, 2357947691, 322687697779, 7625597484987, 78815638671875, 502592611936843, 2334165173090451, 8662995818654939, 27206534396294947, 75084686279296875}, 20] (* Harvey P. Dale, Apr 16 2015 *)
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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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