A198479 - OEIS

%I #16 May 18 2022 08:03:08

%S 0,10,102400,59049000,10485760000,976562500000,60466176000000,

%T 2824752490000000,107374182400000000,3486784401000000000,

%U 100000000000000000000,2593742460100000000000,61917364224000000000000

%N a(n) = 10^n * n^10.

%H Vincenzo Librandi, <a href="/A198479/b198479.txt">Table of n, a(n) for n = 0..900</a>

%F G.f.: 10*x*(1 + 10*x)*(1 + 10120*x + 4682800*x^2 + 408364000*x^3 + 9019900000*x^4 + 40836400000*x^5 + 46828000000*x^6 + 10120000000*x^7 + 100000000*x^8)/ (1-10*x)^11. - _Colin Barker_, May 01 2013

%F a(n) = A011557(n)*A008454(n). - _Michel Marcus_, May 18 2022

%t Table[10^n*n^10, {n,0,20}] (* _G. C. Greubel_, May 17 2022 *)

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

%o (SageMath) [10^n*n^10 for n in (0..20)] # _G. C. Greubel_, May 17 2022

%Y Cf. A008454, A011557.

%Y Cf. A007758, A062074, A062075, A097206, A098803, A098880.

%K nonn,easy

%O 0,2

%A _Vincenzo Librandi_, Oct 27 2011