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 A132112 #33 Feb 21 2024 10:23:31
%S A132112 0,4,23,68,150,280,469,728,1068,1500,2035,2684,3458,4368,5425,6640,
%T A132112 8024,9588,11343,13300,15470,17864,20493,23368,26500,29900,33579,
%U A132112 37548,41818,46400,51305,56544,62128,68068,74375,81060,88134,95608,103493,111800
%N A132112 a(n) = n*(n+1)*(11*n+1)/6.
%C A132112 Sums of rows of the triangle in A132111.
%H A132112 Vincenzo Librandi, <a href="/A132112/b132112.txt">Table of n, a(n) for n = 0..1000</a>
%H A132112 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A132112 a(n) = A132121(n,3) for n > 2.
%F A132112 G.f.: x*(4+7*x)/(1-x)^4. - _Colin Barker_, Jun 06 2012
%F A132112 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - _Vincenzo Librandi_, Jun 29 2012
%F A132112 a(-n) = -A254407(n-1). - _Bruno Berselli_, Jan 31 2015
%F A132112 E.g.f.: exp(x)*x*(24 + 45*x + 11*x^2)/6. - _Stefano Spezia_, Feb 21 2024
%t A132112 CoefficientList[Series[x*(4+7*x)/(1-x)^4,{x,0,40}],x] (* _Vincenzo Librandi_, Jun 29 2012 *)
%t A132112 LinearRecurrence[{4,-6,4,-1},{0,4,23,68},40] (* _Harvey P. Dale_, Jun 28 2021 *)
%o A132112 (Magma) I:=[0, 4, 23, 68]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..50]]; // _Vincenzo Librandi_, Jun 29 2012
%o A132112 (PARI) a(n)=n*(n+1)*(11*n+1)/6 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A132112 Cf. A000330, A033994, A050409, A132111, A132121, A132124, A254407.
%K A132112 nonn,easy
%O A132112 0,2
%A A132112 _Reinhard Zumkeller_, Aug 10 2007