proposed
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proposed
a(n) = 10*a(n-1) + 43 with for n > 0, a(0)=-4.
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a(n) = (7*10^n - 43)/9 for n > 0.
3, 73, 773, 7773, 77773, 777773, 7777773, 77777773, 777777773, 7777777773, 77777777773, 777777777773, 7777777777773, 77777777777773, 777777777777773, 7777777777777773, 77777777777777773, 777777777777777773, 7777777777777777773, 77777777777777777773, 777777777777777777773
a(n) = 10*a(n-1) + 43 with n > 0, a(0)=-4.
From Vincenzo Librandi, Jul 05 2012: (Start)
G.f.: x*(3+40*x)/((1-x)*(1-10*x)). - _Vincenzo Librandi_, Jul 05 2012
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. - _Vincenzo Librandi_, Jul 05 2012(End)
E.g.f.: 4 + exp(x)*(7*exp(9*x) - 43)/9. - Elmo R. Oliveira, Sep 09 2024
approved
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(MAGMAMagma)[(7*10^n-43)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).
<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (11,-10).
<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (11,-10).