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 A075872 #14 Jul 15 2022 09:59:46 %S A075872 1,1,2,5,42,132,1144,3978,35530,690690,2731365,50067108,429757960, %T A075872 1822766520,15991836267,280086337895,4703540164785,21512315482350, %U A075872 360471372561300,3174207914954076,14859478810664136,248599618581498860,2209822117125283440,36246606227404101045 %N A075872 a(n) = binomial(prime(n),n)/prime(n) where prime(n) = n-th prime. %C A075872 A prime p divides all the entries (binomial coefficients) in the p-th row of Pascal's triangle. %F A075872 a(n) = A060604(n)/A000040(n). %p A075872 seq(binomial(ithprime(n),n)/ithprime(n),n=1..30); %t A075872 f[n_]:=Module[{pn=Prime[n]},Binomial[pn,n]/pn] %t A075872 f/@Range[30] (* _Harvey P. Dale_, Feb 25 2011 *) %o A075872 (PARI) a(n) = my(p=prime(n)); binomial(p, n)/p; \\ _Michel Marcus_, Jul 15 2022 %Y A075872 Cf. A060604, A000040. %K A075872 nonn %O A075872 1,3 %A A075872 _Lekraj Beedassy_, Oct 16 2002 %E A075872 More terms from _Emeric Deutsch_, Mar 04 2004