%I #28 Jan 16 2022 08:24:28

%S 0,10,210,3210,43210,543210,6543210,76543210,876543210,9876543210,

%T 109876543210,1209876543210,13209876543210,143209876543210,

%U 1543209876543210,16543209876543210,176543209876543210,1876543209876543210,19876543209876543210,209876543209876543210

%N Expansion of 10*x / ((1 - x) * (1 - 10*x)^2) in powers of x.

%C This is not the same as A052246. They differ at a(11) and beyond. - _Michael Somos_, Sep 14 2014

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (21,-120,100).

%F a(n) = n*10^n+a(n-1), a(0) = 0; a(n) = ((9n-1)*10^n + 1) * 10 / 81; a(n) = A014925(n)*10.

%F a(n) = 21*a(n-1)-120*a(n-2)+100*a(n-3). - _Colin Barker_, Sep 13 2014

%F G.f.: -10*x / ((x-1)*(10*x-1)^2). - _Colin Barker_, Sep 13 2014

%p seq(sum(x*10^x,x=0..a),a=0..100); # _Jorge Coveiro_, Dec 22 2004

%p a:=n->sum((10^(n-j)*(n-j)),j=0..n): seq(a(n), n=0..16); # _Zerinvary Lajos_, Jun 05 2008

%o (PARI) concat(0, Vec(-10*x/((x-1)*(10*x-1)^2) + O(x^100))) \\ _Colin Barker_, Sep 13 2014

%Y Cf. A014925, A052246.

%K easy,nonn

%O 0,2

%A _Henry Bottomley_, Feb 01 2000

%E More terms from _Colin Barker_, Sep 13 2014