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A083812 4n-1 is the digit reversal of n-1. 4

%I #9 Jun 13 2015 00:51:03

%S 18,198,1998,19998,199998,1999998,19999998,199999998,1999999998,

%T 19999999998,199999999998,1999999999998,19999999999998,

%U 199999999999998,1999999999999998,19999999999999998,199999999999999998,1999999999999999998,19999999999999999998

%N 4n-1 is the digit reversal of n-1.

%C 1. a(n) = 18 + 180 + 1800+ ...+ up to n terms. a(n) = sum of n terms of the geometric progression with the first term 18 and common ratio 10. 2. a(n) = 18*A000042(n).( the unary sequence).

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

%F a(n) = 2*(10^n - 1).

%F a(1)=18, a(2)=198, a(n)=11*a(n-1)-10*a(n-2). - _Harvey P. Dale_, Apr 24 2015

%e 18 -1 = 17, 4*18 - 1 = 71.

%t Accumulate[NestList[10#&,18,20]] (* or *) LinearRecurrence[{11,-10},{18,198},20] (* _Harvey P. Dale_, Apr 24 2015 *)

%Y Cf. A000042, A083811.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003

%E Corrected and extended by _Harvey P. Dale_, Apr 24 2015

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Last modified July 11 21:50 EDT 2024. Contains 374234 sequences. (Running on oeis4.)