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A294329
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a(n) = 8*((9*n + 8)*10^n - 8)/81.
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3
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0, 16, 256, 3456, 43456, 523456, 6123456, 70123456, 790123456, 8790123456, 96790123456, 1056790123456, 11456790123456, 123456790123456, 1323456790123456, 14123456790123456, 150123456790123456, 1590123456790123456, 16790123456790123456, 176790123456790123456
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listen;
history;
text;
internal format)
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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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G.f.: 16*x*(1 - 5*x) / ((1 - x)*(1 - 10*x)^2).
a(n) = 21*a(n-1) - 120*a(n-2) + 100*a(n-3) for n>2.
(End)
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MATHEMATICA
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LinearRecurrence[{21, -120, 100}, {0, 16, 256}, 20] (* Harvey P. Dale, Aug 19 2018 *)
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PROG
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(PARI) concat(0, Vec(16*x*(1 - 5*x) / ((1 - x)*(1 - 10*x)^2) + O(x^30))) \\ Colin Barker, Oct 28 2017
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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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