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 A288518 #10 Feb 16 2025 08:33:47 %S A288518 0,1,1,3,12,3,6,49,49,6,10,146,322,146,10,15,373,1618,1618,373,15,21, %T A288518 872,7119,14248,7119,872,21,28,1929,28917,111030,111030,28917,1929,28, %U A288518 36,4118,111360,801756,1530196,801756,111360,4118,36 %N A288518 Array read by antidiagonals: T(m,n) = number of (undirected) paths in the grid graph P_m X P_n. %C A288518 Paths of length zero are not counted here. %H A288518 Andrew Howroyd, <a href="/A288518/b288518.txt">Table of n, a(n) for n = 1..276</a> %H A288518 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GraphPath.html">Graph Path</a> %H A288518 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a> %e A288518 Table starts: %e A288518 ================================================================= %e A288518 m\n| 1 2 3 4 5 6 7 %e A288518 ---|------------------------------------------------------------- %e A288518 1 | 0 1 3 6 10 15 21 ... %e A288518 2 | 1 12 49 146 373 872 1929 ... %e A288518 3 | 3 49 322 1618 7119 28917 111360 ... %e A288518 4 | 6 146 1618 14248 111030 801756 5493524 ... %e A288518 5 | 10 373 7119 111030 1530196 19506257 235936139 ... %e A288518 6 | 15 872 28917 801756 19506257 436619868 9260866349 ... %e A288518 7 | 21 1929 111360 5493524 235936139 9260866349 343715004510 ... %e A288518 ... %Y A288518 Rows 2-7 are A288516, A288527, A358800, A358801, A358802, A358803. %Y A288518 Main diagonal is A288032. %Y A288518 Cf. A231829, A064298, A271465, A271592, A120443, A001184, A145157, A003763. %K A288518 nonn,tabl %O A288518 1,4 %A A288518 _Andrew Howroyd_, Jun 10 2017