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0, 10, 300, 4500, 50000, 468750, 3937500, 30625000, 225000000, 1582031250, 10742187500, 70898437500, 457031250000, 2888183593750, 17944335937500, 109863281250000, 664062500000000, 3968811035156250, 23483276367187500
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OFFSET
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0,2
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LINKS
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FORMULA
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MATHEMATICA
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CoefficientList[Series[10 x (1 + 10 x)/(1 - 5 x)^4, {x, 0, 30}], x] (* Vincenzo Librandi, Feb 12 2013 *)
Table[(n^3+n^2)5^n, {n, 0, 30}] (* or *) LinearRecurrence[{20, -150, 500, -625}, {0, 10, 300, 4500}, 30] (* Harvey P. Dale, May 15 2022 *)
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PROG
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(Magma) [(n^3+n^2)*5^n: n in [0..25]]; /* or */ I:=[0, 10, 300, 4500]; [n le 4 select I[n] else 20*Self(n-1)-150*Self(n-2)+500*Self(n-3)-625*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Feb 12 2013
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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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EXTENSIONS
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STATUS
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approved
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