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 A215548 #11 Mar 17 2020 17:11:09 %S A215548 0,1430,389367,7152444,58261125,303719922,1188576675,3804949176, %T A215548 10495906641,25810820750,57928578191,120681823860,236332181085, %U A215548 439263172458,780774342075,1335176857200,2207407644585,3542395893894,5536432537895,8450810096300,12628017047349 %N A215548 Number of standard Young tableaux of shape [8n,8]. %C A215548 Also the number of binary words with 8n 1's and 8 0's such that for every prefix the number of 1's is >= the number of 0's. %H A215548 Alois P. Heinz, <a href="/A215548/b215548.txt">Table of n, a(n) for n = 0..1000</a> %H A215548 Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a> %F A215548 G.f.: (7*x^8 -63*x^7 -9615*x^6 -572643*x^5 -4331133*x^4 -7786221*x^3 -3699621*x^2 -376497*x -1430)*x / (x-1)^9. %F A215548 a(n) = C(8*n+8,8)*(8*n-7)/(8*n+1) for n>0, a(0) = 0. %p A215548 a:= n-> max(0, binomial(8*n+8,8)*(8*n-7)/(8*n+1)): %p A215548 seq(a(n), n=0..30); %t A215548 Join[{0},Table[(Binomial[8n+8,8](8n-7))/(8n+1),{n,20}]] (* _Harvey P. Dale_, Mar 17 2020 *) %Y A215548 Row n=8 of A214776. %K A215548 nonn %O A215548 0,2 %A A215548 _Alois P. Heinz_, Aug 16 2012