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 A136673 #2 Mar 30 2012 17:34:25 %S A136673 2,1,1,2,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0, %T A136673 0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1 %N A136673 Triangle of coefficients from a polynomial recursion for Galois field GF(2^n) polynomials: p(x,n)=(x+1)*p(x,n-1)-x*p(x,n-2); or f(x,n)=x^n+x+1;. %C A136673 Row sums are: %C A136673 {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3} %C A136673 The result is very dependent on the two initial polynomials. %D A136673 Taylor L. Booth, Sequential Machines and Automata Theory, John Wiley and Sons, Inc., 1967, Appendix I %F A136673 p(x,0)=2+x;p(x,1)=1+2*x; p(x,n)=(x+1)*p(x,n-1)-x*p(x,n-2); or f(x,n)=x^n+x+1; %e A136673 {2, 1}, %e A136673 {1, 2}, %e A136673 {1, 1, 1}, %e A136673 {1, 1, 0, 1}, %e A136673 {1, 1, 0, 0, 1}, %e A136673 {1, 1, 0, 0, 0, 1}, %e A136673 {1, 1, 0, 0, 0, 0, 1}, %e A136673 {1, 1, 0, 0, 0, 0, 0, 1}, %e A136673 {1, 1, 0, 0, 0, 0, 0, 0, 1}, %e A136673 {1, 1, 0, 0, 0, 0, 0, 0, 0, 1}, %e A136673 {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1} %t A136673 p[x, 0] = 2 + x; p[x, 1] = 1 + 2*x; p[x_, n_] := p[x, n] = (x + 1)*p[x, n - 1] - x*p[x, n - 2]; Table[ExpandAll[p[x, n]], {n, 0, 10}]; a = Table[CoefficientList[p[x, n], x], {n, 0, 10}] Flatten[a] %Y A136673 Cf. A057764, A103204. %K A136673 nonn,uned,tabl %O A136673 1,1 %A A136673 _Roger L. Bagula_, Apr 05 2008