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 A143844 #16 Feb 21 2024 18:00:48
%S A143844 0,0,1,0,1,4,0,1,4,9,0,1,4,9,16,0,1,4,9,16,25,0,1,4,9,16,25,36,0,1,4,
%T A143844 9,16,25,36,49,0,1,4,9,16,25,36,49,64,0,1,4,9,16,25,36,49,64,81,0,1,4,
%U A143844 9,16,25,36,49,64,81,100,0,1,4,9,16,25,36,49,64,81,100,121
%N A143844 Triangle T(n,k) = k^2 read by rows.
%C A143844 This is triangle A133819 with an additional leading column of zeros.
%C A143844 There is a family of even integer-valued polynomials p_n(x) = product_{k=0..n} (x^2 - T(n,k))/ A002674(n+1). We find p_0(x) in A000290, p_1(x) in A002415, p_2(x) essentially in A040977, p_3(x) in A053347 and p_4(x) in A054334. - _Paul Curtz_, Jun 10 2011
%F A143844 T(n,k) = (A002262(n,k))^2.
%F A143844 G.f.: x*y*(1 + x*y)/((1 - x)*(1 - x*y)^3). - _Stefano Spezia_, Feb 21 2024
%t A143844 Table[Range[0,n]^2,{n,0,15}]//Flatten (* _Harvey P. Dale_, Sep 08 2017 *)
%o A143844 (PARI) for(n=0,9,for(k=0,n,print1(k^2", "))) \\ _Charles R Greathouse IV_, Jun 10 2011
%Y A143844 Cf. A000290, A002262, A002415, A002674, A040977, A053347, A054334, A133819.
%K A143844 nonn,tabl,easy
%O A143844 0,6
%A A143844 _Paul Curtz_, Sep 03 2008
%E A143844 Definition simplified by _R. J. Mathar_, Sep 07 2009