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0, 1953125, 1000000000, 38443359375, 512000000000, 3814697265625, 19683000000000, 78815638671875, 262144000000000, 756680642578125, 1953125000000000, 4605366583984375, 10077696000000000, 20711912837890625
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OFFSET
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0,2
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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)=0, a(1)=1953125, a(2)=1000000000, a(3)=38443359375, a(4)=512000000000, a(5)=3814697265625, a(6)=19683000000000, a(7)=78815638671875, a(8)=262144000000000, a(9)=756680642578125, 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, Jul 01 2014
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MAPLE
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MATHEMATICA
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(5*Range[0, 20])^9 (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1953125, 1000000000, 38443359375, 512000000000, 3814697265625, 19683000000000, 78815638671875, 262144000000000, 756680642578125}, 20] (* Harvey P. Dale, Jul 01 2014 *)
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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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