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a(n) = 8*(10^n - 1).
8

%I #18 Sep 12 2024 18:49:00

%S 0,72,792,7992,79992,799992,7999992,79999992,799999992,7999999992,

%T 79999999992,799999999992,7999999999992,79999999999992,

%U 799999999999992,7999999999999992,79999999999999992,799999999999999992,7999999999999999992,79999999999999999992,799999999999999999992

%N a(n) = 8*(10^n - 1).

%C Original definition: a(n) = k where R(k+8) = 8.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).

%F a(n) = 8*9*A002275(n) = 8*A002283(n).

%F R(a(n)) = A086574(n).

%F From _Chai Wah Wu_, Jul 08 2016: (Start)

%F a(n) = 11*a(n-1) - 10*a(n-2) for n > 1.

%F G.f.: 72*x/((1 - x)*(1 - 10*x)). (End)

%F E.g.f.: 8*exp(x)*(exp(9*x) - 1). - _Elmo R. Oliveira_, Sep 12 2024

%Y Cf. A002275, A004086 (R(n)).

%Y One of family of sequences of form a(n) = k, where R(k+m) = m, m=1 to 9; m=1: A002283, m=2: A086573, m=3: A086574, m=4: A086575, m=5: A086576, m=6: A086577, m=7: A086578, m=8: A086579, m=9: A086580.

%K nonn,easy

%O 0,2

%A _Ray Chandler_, Jul 22 2003

%E Edited by _Jinyuan Wang_, Aug 04 2021