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 A048514 #15 Aug 01 2022 10:23:22
%S A048514 1,3,13,54,190,587,1659,4412,11244,27785,67089,159106,371930,859159,
%T A048514 1964855,4454968,10025240,22411221,49804909,110097630,242217766,
%U A048514 530575683,1157623603,2516577524,5452589700,11777599457
%N A048514 a(n) = T(0,n)+T(1,n-1)+...+T(n,0), array T given by A048505.
%H A048514 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (10,-42,96, -129,102,-44,8).
%F A048514 G.f.: (8*x^5-37*x^4+46*x^3-25*x^2+7*x-1) / ((x-1)^4*(2*x-1)^3). - _Colin Barker_, Feb 25 2015
%t A048514 LinearRecurrence[{10,-42,96,-129,102,-44,8},{1,3,13,54,190,587,1659},30] (* _Harvey P. Dale_, Aug 01 2022 *)
%o A048514 (PARI)
%o A048514 T(k, n) = (n^2 + (4*k+1)*n + (2*k)^2) * 2^(n-2) - k^2 + 1
%o A048514 a(n) = sum(k=0, n, T(k,n-k)) \\ _Colin Barker_, Feb 25 2015
%K A048514 nonn
%O A048514 0,2
%A A048514 _Clark Kimberling_
%E A048514 Typo in a(25) fixed by _Colin Barker_, Feb 25 2015