A177068 - OEIS

%I #13 Sep 08 2022 08:45:53

%S 1,11,1124,60049,1058576,9865625,61466176,292475249,1173741824,

%T 4486784401,20000000000,125937424601,1061917364224,10137858491849,

%U 100289254654976,1000576650390625,10001099511627776,100002015993900449

%N 10^n+n^10

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (21,-165,715,-1980,3762,-5082,4950,-3465,1705,-561,111,-10).

%F G.f.: ( 1 -10*x +1058*x^2 +37545*x^3 -22878*x^4 -3242028*x^5 -11792724*x^6 -12648678*x^7 -4503915*x^8 -477442*x^9 -10118*x^10 -11*x^11 ) / ( (10*x-1)*(x-1)^11 ) [R. J. Mathar, Jun 18 2010]

%t f[n_]:=10^n+n^10;f[Range[0,40]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 14 2011*)

%o (Magma) [(10^n+n^10): n in [0..20]]

%o (PARI) a(n)=10^n+n^10

%K nonn,easy

%O 0,2

%A _Vincenzo Librandi_, May 31 2010

%E Offset corrected and o.g.f. added - _R. J. Mathar_, Jun 18 2010