Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #12 Mar 08 2021 16:41:06
%S 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 120,165,218,360,408,169,210,290,396,545,720,1189,985,408,507,700,957,
%U 1308,1800,2378,3927
%N Eigentriangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k).
%C Row sums = A006190: (1, 3, 10, 33, 109,...)
%C Left border = Pell series, A000129.
%C Right border = A006190 shifted.
%F 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 First few rows of the triangle:
%e 1;
%e 2, 1;
%e 5, 2, 3;
%e 12, 5, 6, 10;
%e 29, 12, 15, 20, 33;
%e 70, 29, 36, 50, 66, 109;
%e 169, 70, 87, 120, 165, 218, 360;
%e ...
%e 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 Cf. A000129, A006190.
%K nonn,tabl
%O 1,2
%A _Gary W. Adamson_, Sep 07 2008