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 A132303 #9 Aug 30 2025 10:26:43 %S A132303 1,3,45,831,17181,375903,8530929,198643455,4714491357,113550338127, %T A132303 2767105469745,68077260387315,1688160321677025,42142679453321307, %U A132303 1058050429855640217,26695057057648257231,676431705046728704733,17205315843416998571415,439098128408223839364561,11239967518370464873317291 %N A132303 Sum of cubes of trinomial coefficients: a(n) = Sum_{k=0..2n} trinomial(n,k)^3 where trinomial(n,k) = [x^k] (1 + x + x^2)^n. %H A132303 Robert Israel, <a href="/A132303/b132303.txt">Table of n, a(n) for n = 0..698</a> %p A132303 f:= proc(n) local t; add(subs(x=1,t)^3, t = expand((1+x+x^2)^n)) end proc: %p A132303 map(f, [$0..20]); # _Robert Israel_, Aug 29 2025 %o A132303 (PARI) a(n)=sum(k=0,2*n,polcoeff((1+x+x^2)^n,k)^3) %Y A132303 Cf. A132304, A132305. %K A132303 nonn,changed %O A132303 0,2 %A A132303 _Paul D. Hanna_, Aug 18 2007