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 A055864 #11 Jun 26 2024 15:20:30
%S A055864 1,3,2,16,12,9,125,100,80,64,1296,1080,900,750,625,16807,14406,12348,
%T A055864 10584,9072,7776,262144,229376,200704,175616,153664,134456,117649,
%U A055864 4782969,4251528,3779136,3359232,2985984,2654208,2359296,2097152
%N A055864 Coefficient triangle for certain polynomials.
%C A055864 The coefficients of the partner polynomials are found in triangle A055858.
%F A055864 a(n, m)=0 if n<m; a(n, m)= n^(m-1)*(n+1)^(n-m), n >= m >= 1;
%F A055864 E.g.f. for column m: A(m, x); A(1, x)=-(W(-x)/x+1); recursion: A(m, x) = A(m-1, x)-int(A(m-1, x), x)/x-(((m-1)^(m-1))/m)* (x^(m-1))/(m-1)!, m >= 2; W(x) principal branch of Lambert's function.
%e A055864 Fourth row polynomial (n=4): p(4,x) = 125+100*x+80*x^2+64*x^3.
%e A055864 Triangle begins:
%e A055864 1;
%e A055864 3, 2;
%e A055864 16, 12, 9;
%e A055864 125, 100, 80, 64;
%e A055864 1296, 1080, 900, 750, 625;
%e A055864 16807, 14406, 12348, 10584, 9072, 7776;
%e A055864 262144, 229376, 200704, 175616, 153664, 134456, 117649;
%e A055864 4782969, 4251528, 3779136, 3359232, 2985984, 2654208, 2359296, 2097152;
%e A055864 ...
%t A055864 a[n_, m_] /; n < m = 0; a[n_, m_] := n^(m-1)*(n+1)^(n-m); Table[a[n, m], {n, 1, 8}, {m, 1, n}] // Flatten (* _Jean-François Alcover_, Jun 20 2013 *)
%Y A055864 Column sequences are: A000272(n+1), n >= 1, A055865, A055070, A055867, A055868 for m=1..5.
%Y A055864 Main diagonal gives A000169.
%K A055864 easy,nonn,tabl
%O A055864 1,2
%A A055864 _Wolfdieter Lang_, Jun 20 2000