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.

A144019 Eigentriangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k).

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%I A144019 #12 Mar 08 2021 16:41:06
%S A144019 1,2,1,5,2,3,12,5,6,10,29,12,15,20,33,70,29,36,50,66,109,169,70,87,
%T A144019 120,165,218,360,408,169,210,290,396,545,720,1189,985,408,507,700,957,
%U A144019 1308,1800,2378,3927
%N A144019 Eigentriangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k).
%C A144019 Row sums = A006190: (1, 3, 10, 33, 109,...)
%C A144019 Left border = Pell series, A000129.
%C A144019 Right border = A006190 shifted.
%F A144019 Triangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k), with A006190 one place to the right, = (1, 1, 3, 10, 33, 109,...).
%e A144019 First few rows of the triangle:
%e A144019     1;
%e A144019     2,  1;
%e A144019     5,  2,  3;
%e A144019    12,  5,  6,  10;
%e A144019    29, 12, 15,  20,  33;
%e A144019    70, 29, 36,  50,  66, 109;
%e A144019   169, 70, 87, 120, 165, 218, 360;
%e A144019   ...
%e A144019 Row 4 = (12, 5, 6, 10) = termwise product of (12, 5, 2, 1) and (1, 1, 3, 10) = (12*1, 5*1, 2*3, 1*10).
%Y A144019 Cf. A000129, A006190.
%K A144019 nonn,tabl
%O A144019 1,2
%A A144019 _Gary W. Adamson_, Sep 07 2008