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 A011845 #42 Jul 08 2025 02:40:36 %S A011845 0,0,0,0,0,0,0,0,0,1,5,18,55,143,333,715,1430,2701,4862,8398,13996, %T A011845 22610,35530,54479,81719,120175,173586,246675,345345,476905,650325, %U A011845 876525,1168700,1542684,2017356,2615091,3362260,4289780,5433721,6835972,8544965,10616471 %N A011845 a(n) = floor( binomial(n,8)/9). %H A011845 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-8,28,-56,70,-56,28,-8,1). %F A011845 a(n) = floor(binomial(n+1,9)/(n+1)). [_Gary Detlefs_, Nov 23 2011] %t A011845 Table[Floor[Binomial[n, 8] / 9], {n, 1, 50}] (* _Vincenzo Librandi_, Oct 15 2015 *) %o A011845 (PARI) a(n) = binomial(n, 8)\9; \\ _Michel Marcus_, Oct 14 2015 %o A011845 (Magma) [Binomial(n, 8) div 9: n in [0..45]]; // _Vincenzo Librandi_, Oct 15 2015 %Y A011845 Cf. A000031, A001037, A028723, A051168. %Y A011845 A column of triangle A011847. %K A011845 nonn %O A011845 0,11 %A A011845 _N. J. A. Sloane_ %E A011845 Definition corrected by _Pedro Antonio_, Oct 14 2015 %E A011845 More terms from _Vincenzo Librandi_, Oct 15 2015