%I #18 Feb 17 2023 10:10:53

%S 1,88,4224,146432,4100096,98402304,2099249152,40785412096,

%T 734137417728,12398765277184,198380244434944,3029807369551872,

%U 44437174753427456,628956934971588608,8625695108181786624,115009268109090488320,1495120485418176348160,18996824991195652423680

%N a(n) = binomial(n+10, 10)*8^n.

%H Vincenzo Librandi, <a href="/A197321/b197321.txt">Table of n, a(n) for n = 0..400</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (88,-3520,84480,-1351680,15138816,-121110528,692060160,-2768240640,7381975040,-11811160064,8589934592).

%F a(n) = 8^n*C(n+10, 10).

%F G.f.: 1/(1-8*x)^11.

%F From _Amiram Eldar_, Feb 17 2023: (Start)

%F Sum_{n>=0} 1/a(n) = 3879700814/9 - 3228288560*log(8/7).

%F Sum_{n>=0} (-1)^n/a(n) = 30993639120*log(9/8) - 229983068738/63. (End)

%t Table[Binomial[n+10,10]8^n,{n,0,20}] (* _Harvey P. Dale_, Mar 05 2012 *)

%o (Magma) [8^n*Binomial(n+10, 10): n in [0..20]]

%Y Cf. A140406, A140802, A141054, A173155, A196280.

%K nonn,easy

%O 0,2

%A _Vincenzo Librandi_, Oct 15 2011