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 A106471 #13 Sep 02 2024 00:20:11
%S A106471 1,2,1,4,2,1,8,4,4,1,16,8,11,4,1,32,16,26,11,6,1,64,32,57,26,22,6,1,
%T A106471 128,64,120,57,64,22,8,1,256,128,247,120,163,64,37,8,1,512,256,502,
%U A106471 247,382,163,130,37,10,1,1024,512,1013,502,848,382,386,130,56,10,1,2048,1024
%N A106471 A number triangle with duplicated columns of the form 2^n - Sum_{j=0..2k-1} C(n,j).
%C A106471 Columns include A000079, A000295, A002663, A035038, A035040.
%C A106471 Row sums are A106472.
%C A106471 Product of binomial matrix binomial(n,k) and number triangle A106465.
%F A106471 Column 2k has g.f. x^(2*k)/((1-2*x)*(1-x)^(2*k-2)).
%F A106471 Column 2k+1 has g.f. x^(2*k+1)/((1-2*x)*(1-x)^(2*k)).
%e A106471 Triangle begins
%e A106471 1;
%e A106471 2, 1;
%e A106471 4, 2, 1;
%e A106471 8, 4, 4, 1;
%e A106471 16, 8, 11, 4, 1;
%e A106471 32, 16, 26, 11, 6, 1;
%e A106471 64, 32, 57, 26, 22, 6, 1;
%K A106471 easy,nonn,tabl
%O A106471 0,2
%A A106471 _Paul Barry_, May 03 2005