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 A288527 #12 Jun 12 2017 08:10:50 %S A288527 3,49,322,1618,7119,28917,111360,412998,1490095,5266919,18329164, %T A288527 63032354,214788229,726753651,2445603148,8194841668,27369348241, %U A288527 91175639607,303133174298,1006289129240,3336552385073,11052905264953,36588907685926,121056347131508 %N A288527 Number of (undirected) paths in the grid graph P_3 X P_n. %H A288527 Andrew Howroyd, <a href="/A288527/b288527.txt">Table of n, a(n) for n = 1..200</a> %F A288527 Empirical: a(n) = 10*a(n-1)-37*a(n-2)+59*a(n-3)-27*a(n-4)-25*a(n-5)+21*a(n-6)+5*a(n-7)-4*a(n-8)-a(n-9) for n>9. %F A288527 Empirical g.f.: x*(3 + 19*x - 57*x^2 + 34*x^3 + 43*x^4 - 7*x^5 - 13*x^6 - 2*x^7) / ((1 - x)^3*(1 - 2*x - x^2)^2*(1 - 3*x - x^2)). - _Colin Barker_, Jun 11 2017 %Y A288527 Row 3 of A288518. %Y A288527 Cf. A288516. %K A288527 nonn %O A288527 1,1 %A A288527 _Andrew Howroyd_, Jun 10 2017