login
Eigensequence of triangle A084938.
2

%I #9 Jan 22 2023 09:16:12

%S 1,1,2,6,23,105,550,3236,21127,152084

%N Eigensequence of triangle A084938.

%C Triangle A084938 * [1, 1, 1, 2, 6, 23, 105, 550,...] shifts left to [1, 1, 2, 6, 23, 105, 550,...].

%C Eigentriangle A165490 = A084938 * its eigensequence, A165489 as a diagonalized infinite lower triangular matrix.

%F The sequence can be obtained by shifting down triangle A084938 one row, then inserting a "1" as the first term, obtaining a new triangle Q. Then take the Lim_{n->inf.} Q^n, obtaining a shifted left column vector = A165489 prefaced with a 1. Delete the first 1, obtaining [1, 1, 2, 6, 23, 105, 550, 3236,...].

%Y Cf. A084938, A165490.

%K eigen,nonn,more

%O 1,3

%A _Gary W. Adamson_, Sep 20 2009