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A094621 Expansion of x*(11+13*x+20*x^2) / ( (x-1)*(1+x)*(10*x^2-1) ). 2

%I #14 Sep 09 2019 03:29:08

%S 0,11,13,141,143,1441,1443,14441,14443,144441,144443,1444441,1444443,

%T 14444441,14444443,144444441,144444443,1444444441,1444444443,

%U 14444444441,14444444443,144444444441,144444444443,1444444444441

%N Expansion of x*(11+13*x+20*x^2) / ( (x-1)*(1+x)*(10*x^2-1) ).

%C Digits are reversals of A094622.

%C Previous name was: Sequence whose n-th term's digits sum to 2n.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,11,0,-10).

%F a(n) = 10^(n/2)*((11*sqrt(10)/20 - 1) + (13/18 - 13*sqrt(10)/18)*(-1)^n + 31*sqrt(10)/180 + 31/18) + (-1)^n - 22/9.

%F G.f.: x*(11+13*x+20*x^2) / ( (x-1)*(1+x)*(10*x^2-1) ). - _R. J. Mathar_, Nov 27 2014

%t LinearRecurrence[{0,11,0,-10},{0,11,13,141},30] (* _Harvey P. Dale_, Nov 12 2017 *)

%Y Cf. A094620, A094622.

%K easy,nonn,base

%O 0,2

%A _Paul Barry_, May 15 2004

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)