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A171226 9+10^n+9*100^n. 1

%I #17 Dec 15 2017 17:37:09

%S 19,919,90109,9001009,900010009,90000100009,9000001000009,

%T 900000010000009,90000000100000009,9000000001000000009,

%U 900000000010000000009,90000000000100000000009,9000000000001000000000009,900000000000010000000000009,90000000000000100000000000009

%N 9+10^n+9*100^n.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (111, -1110, 1000).

%F a(n) = 111*a(n-1) -1110*a(n-2) +1000*a(n-3).

%F G.f.: -(19-1190*x+9190*x^2)/((x-1) * (100*x-1) * (10*x-1)). - _R. J. Mathar_, Feb 14 2010

%p A171226:=n->9+10^n+9*100^n; seq(A171226(n), n=0..20); # _Wesley Ivan Hurt_, Mar 07 2014

%t LinearRecurrence[{111,-1110,1000},{19,919,90109},20] (* _Harvey P. Dale_, Oct 24 2011 *)

%o (PARI) a(n) = 9+10^n+9*100^n; \\ _Michel Marcus_, Mar 08 2014

%Y Cf. A083816.

%K easy,nonn

%O 0,1

%A _Jason Earls_, Dec 05 2009

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)