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A173808
a(n) = (7*10^n + 11)/9 for n > 0.
1
9, 79, 779, 7779, 77779, 777779, 7777779, 77777779, 777777779, 7777777779, 77777777779, 777777777779, 7777777777779, 77777777777779, 777777777777779, 7777777777777779, 77777777777777779, 777777777777777779, 7777777777777777779, 77777777777777777779, 777777777777777777779
OFFSET
1,1
FORMULA
a(n) = 10*a(n-1) - 11 with n > 0, a(0)=2.
From Vincenzo Librandi, Jul 05 2012: (Start)
G.f.: x*(9-20*x)/((1-x)*(1-10*x)).
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)
E.g.f.: exp(x)*(7*exp(9*x) + 11)/9 - 2. - Elmo R. Oliveira, Sep 09 2024
MATHEMATICA
CoefficientList[Series[(9-20*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
PROG
(Magma) [(7*10^n+11)/9: n in [1..20]]; // Vincenzo Librandi Jul 05 2012
CROSSREFS
Cf. A093404.
Sequence in context: A254598 A083411 A181279 * A348895 A293723 A255807
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 25 2010
STATUS
approved