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A173776
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a(n) = (4*10^n + 41)/9.
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2
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5, 9, 49, 449, 4449, 44449, 444449, 4444449, 44444449, 444444449, 4444444449, 44444444449, 444444444449, 4444444444449, 44444444444449, 444444444444449, 4444444444444449, 44444444444444449, 444444444444444449
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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) = 10*a(n-1) - 41 with n>0, a(0)=5.
E.g.f.: (1/9)*(41*exp(x) + 4*exp(10*x)). - G. C. Greubel, Jul 06 2021
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MATHEMATICA
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Join[{5}, FromDigits/@Table[PadLeft[{9}, n, 4], {n, 20}]] (* or *) Join[{5}, NestList[10#-41&, 9, 20]] (* Harvey P. Dale, Feb 17 2012 *)
CoefficientList[Series[(5-46*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
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PROG
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(Sage) [(4*10^n + 41)/9 for n in (0..30)] # G. C. Greubel, Jul 06 2021
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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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