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 A167194 #15 Jun 29 2024 16:44:55 %S A167194 1,2,1,1,2,1,0,1,2,1,0,0,1,2,1,0,0,0,1,2,1,0,0,0,0,1,2,1,0,0,0,0,0,1, %T A167194 2,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,2,1,0,0, %U A167194 0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,2,1 %N A167194 Triangle read by rows. A130713 in the columns. %F A167194 From _Peter Bala_, Sep 12 2012: (Start) %F A167194 T(n,k) = binomial(2,n-k). %F A167194 O.g.f.: (1+x)^2/(1-t*x). %F A167194 Riordan array ((1+x)^2,x). %F A167194 Matrix inverse is signed version of A004736. (End) %e A167194 Table begins: %e A167194 1; %e A167194 2,1; %e A167194 1,2,1; %e A167194 0,1,2,1; %e A167194 0,0,1,2,1; %e A167194 0,0,0,1,2,1; %e A167194 0,0,0,0,1,2,1; %e A167194 0,0,0,0,0,1,2,1; %e A167194 0,0,0,0,0,0,1,2,1; %e A167194 0,0,0,0,0,0,0,1,2,1; %e A167194 0,0,0,0,0,0,0,0,1,2,1; %e A167194 ... %t A167194 Array[PadLeft[{1, 2, 1}, #] &,15] (* _Paolo Xausa_, Jun 27 2024 *) %Y A167194 Cf. A004736, A130713, A185018. %K A167194 nonn,tabl %O A167194 1,2 %A A167194 _Mats Granvik_, Oct 30 2009