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A171375
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1+3*10^n+100^n.
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2
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5, 131, 10301, 1003001, 100030001, 10000300001, 1000003000001, 100000030000001, 10000000300000001, 1000000003000000001, 100000000030000000001, 10000000000300000000001, 1000000000003000000000001, 100000000000030000000000001, 10000000000000300000000000001
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2.
G.f.: (1310*x^2 - 424*x + 5)/((1 - x)*(1 - 10*x)*(1 - 100*x)). (End)
E.g.f.: (1 + 3*exp(9*x) + exp(99*x))*exp(x). - Ilya Gutkovskiy, May 30 2016
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MATHEMATICA
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LinearRecurrence[{111, -1110, 1000}, {5, 131, 10301}, 20] (* Harvey P. Dale, Jun 03 2016 *)
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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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EXTENSIONS
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STATUS
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approved
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