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 A004344 #16 Mar 19 2025 09:03:04
%S A004344 1,15,190,2300,27405,324632,3838380,45379620,536878650,6358402050,
%T A004344 75394027566,895068996640,10638894058520,126600387152400,
%U A004344 1508152231077400,17984495151670680,214667221708410075,2564603660132096265,30664510802988208300,366934961273420740200
%N A004344 Binomial coefficient C(5n+10,n).
%D A004344 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.
%H A004344 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
%F A004344 a(n) = C(5n+10,n) = (n+2)*A233738(n)/2. _Wesley Ivan Hurt_, Sep 01 2014
%F A004344 D-finite with recurrence 8*n*(2*n+5)*(4*n+7)*(4*n+9)*a(n) -5*(5*n+6)*(5*n+7)*(5*n+8)*(5*n+9)*a(n-1)=0. - _R. J. Mathar_, Mar 19 2025
%p A004344 A004344:=n->binomial(5*n+10,n): seq(A004344(n), n=0..20); # _Wesley Ivan Hurt_, Sep 01 2014
%t A004344 Table[Binomial[5 n + 10, n], {n, 0, 20}] (* _Wesley Ivan Hurt_, Sep 01 2014 *)
%o A004344 (Magma) [Binomial(5*n+10,n) : n in [0..20]]; // _Wesley Ivan Hurt_, Sep 01 2014
%Y A004344 Cf. A233738.
%K A004344 nonn,easy
%O A004344 0,2
%A A004344 _N. J. A. Sloane_
%E A004344 Name and offset changed by _Wesley Ivan Hurt_, Sep 01 2014