This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A196280 #21 Feb 17 2023 10:10:25 %S A196280 1,80,3520,112640,2928640,65601536,1312030720,23991418880, %T A196280 407854120960,6525665935360,99190122217472,1442765414072320, %U A196280 20198715797012480,273459536944168960,3594039628409077760,46003707243636195328,575046340545452441600,7035861107850241638400 %N A196280 a(n) = binomial(n+9, 9)*8^n. %H A196280 Vincenzo Librandi, <a href="/A196280/b196280.txt">Table of n, a(n) for n = 0..400</a> %H A196280 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (80,-2880,61440,-860160,8257536,-55050240,251658240,-754974720,1342177280,-1073741824). %F A196280 a(n) = C(n+9,9)*8^n. %F A196280 G.f.: 1 / (8*x-1)^10 . - _R. J. Mathar_, Oct 13 2011 %F A196280 From _Amiram Eldar_, Feb 17 2023: (Start) %F A196280 Sum_{n>=0} 1/a(n) = 415065672*log(8/7) - 277121481/5. %F A196280 Sum_{n>=0} (-1)^n/a(n) = 3099363912*log(9/8) - 12776837121/35. (End) %t A196280 Table[Binomial[n+9,9]8^n,{n,0,20}] (* or *) LinearRecurrence[{80,-2880,61440,-860160,8257536,-55050240,251658240,-754974720,1342177280,-1073741824},{1,80,3520,112640,2928640,65601536,1312030720,23991418880,407854120960,6525665935360},20] (* _Harvey P. Dale_, May 13 2017 *) %o A196280 (Magma) [Binomial(n+9, 9)*8^n: n in [0..20]]; %Y A196280 Cf. A140406, A140802, A141054, A173155 %K A196280 nonn,easy %O A196280 0,2 %A A196280 _Vincenzo Librandi_, Oct 13 2011