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 A038739 #15 Oct 24 2016 02:46:35
%S A038739 1,7,30,103,314,895,2455,6590,17480,46070,121016,317342,831465,
%T A038739 2177613,5702054,14929365,39087010,102332805,267912735,701406940,
%U A038739 1836309856,4807524652,12586266400,32951277148,86267567969,225851430035
%N A038739 T(n,n-2), array T as in A038738.
%F A038739 Sixth diagonal of array defined by T(i, 1)=T(1, j)=1, T(i, j)=Max(T(i-1, j)+T(i-1, j-1); T(i-1, j-1)+T(i, j-1)) - _Benoit Cloitre_, Aug 05 2003
%F A038739 G.f.: x^2/[(1-3x+x^2)(1-x)^4].
%F A038739 a(n) = Sum_{k=0..n}(binomial(n+3,k+4)*Fibonacci(k)). - _Vladimir Kruchinin_, Oct 24 2016
%o A038739 (Maxima)
%o A038739 a(n):=sum(binomial(n+3,k+4)*fib(k),k,0,n); /* _Vladimir Kruchinin_, Oct 24 2016 */
%K A038739 nonn
%O A038739 2,2
%A A038739 _Clark Kimberling_, May 02 2000