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.

A133938 A007318 * (A129686 + A133080 - I), where I is the identity matrix.

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%I A133938 #8 Mar 23 2022 07:38:49
%S A133938 1,2,1,4,2,1,7,4,4,1,11,8,11,4,1,16,15,25,11,6,1,22,26,50,26,22,6,1,
%T A133938 29,42,91,56,63,22,8,1,37,64,154,112,154,64,37,8,1,46,93,24,210,336,
%U A133938 162,129,37,10,1
%N A133938 A007318 * (A129686 + A133080 - I), where I is the identity matrix.
%C A133938 Left column = A000124: (1, 2, 4, 7, 11, ...).
%C A133938 Row sums = A133124: (1, 3, 7, 16, 35, 74, ...).
%F A133938 Binomial transform of matrix M, where M = a tridiagonal matrix with (1,1,1,...) in the main diagonal, (1,0,1,0,...) in the subdiagonal and (1,1,1,...) in the subsubdiagonal. M = (A129686 + A133080 - I), I = Identity matrix.
%e A133938 First few rows of the triangle:
%e A133938    1;
%e A133938    2,  1;
%e A133938    4,  2,  1;
%e A133938    7,  4,  4,  1;
%e A133938   11,  8, 11,  4,  1;
%e A133938   16, 15, 25, 11,  6,  1;
%e A133938   22, 26, 50, 26, 22,  6,  1;
%e A133938   ...
%Y A133938 Cf. A000124, A133124, A129686, A133080.
%K A133938 nonn,tabl,more
%O A133938 1,2
%A A133938 _Gary W. Adamson_, Sep 29 2007