A165489 Eigensequence of triangle A084938.

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

Offset

1,3

Comments

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

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

Links

Table of n, a(n) for n=1..10.

Formula

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,...].

Crossrefs

Cf. A084938, A165490.

Sequence in context: A080108 A113227 A200406 * A352367 A192315 A325297

Adjacent sequences: A165486 A165487 A165488 * A165490 A165491 A165492

Keyword

eigen,nonn,more

Author

Gary W. Adamson, Sep 20 2009

Status

approved