cp's OEIS Frontend

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.

A167194 Triangle read by rows. A130713 in the columns.

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%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