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A099915 Expansion of (1+4x)/((1-x)(1-10x)). 4

%I

%S 1,15,155,1555,15555,155555,1555555,15555555,155555555,1555555555,

%T 15555555555,155555555555,1555555555555,15555555555555,

%U 155555555555555,1555555555555555,15555555555555555,155555555555555555

%N Expansion of (1+4x)/((1-x)(1-10x)).

%C Partial sums of (1+4x)/(1-10x)={1,14,140,1400,...}

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

%F a(n)=10^n*14/9-5/9; a(n)=11a(n-1)-10a(n-2), a(0)=1, a(1)=15.

%t LinearRecurrence[{11,-10},{1,15},20] (* or *) Accumulate[ CoefficientList[ Series[ (1+4x)/(1-10x),{x,0,20}],x]] (* _Harvey P. Dale_, Apr 23 2011 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Oct 30 2004

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Last modified March 18 13:47 EDT 2019. Contains 321289 sequences. (Running on oeis4.)