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 A135757 #20 Sep 08 2022 08:45:32 %S A135757 1,2,20,924,184756,155117520,538257874440,7648690600760440, %T A135757 442512540276836779204,103827421287553411369671120, %U A135757 98527218530093856775578873054432,377389666165540953244592352291892721700,5825874245311064218315521996517139009907512400 %N A135757 Central binomial coefficients at triangular positions: a(n) = A000984(n(n+1)/2). %H A135757 G. C. Greubel, <a href="/A135757/b135757.txt">Table of n, a(n) for n = 0..50</a> %F A135757 a(n) = binomial(n(n+1), n(n+1)/2). %F A135757 a(n) ~ 2^(n^2+n) sqrt(2/Pi) (1/n - 1/(2n^2) + 1/(8n^3) + ...). - _Robert Israel_, Nov 08 2016 %p A135757 seq(binomial(n*(n+1),n*(n+1)/2),n=0..20); # _Robert Israel_, Nov 08 2016 %t A135757 Table[Binomial[n*(n + 1), n*(n + 1)/2], {n,0,10}] (* _G. C. Greubel_, Nov 07 2016 *) %o A135757 (PARI) a(n)=binomial(n*(n+1),n*(n+1)/2) %o A135757 (Magma) [Binomial(n*(n+1), n*(n+1) div 2): n in [0..15]]; // _Vincenzo Librandi_, Nov 08 2016 %Y A135757 Cf. A000984, A135758. %K A135757 nonn,easy %O A135757 0,2 %A A135757 _Paul D. Hanna_, Dec 02 2007