1,4

Eigentriangle, row sums = rightmost term of next row.

Row sums = the Pell series starting with offset 1: (1, 2, 5, 12, 29,...).

Triangle read by rows, A104762 * (A000129 * 0^(n-k)).

A104762 = Fibonacci numbers "decrescendo", (1, 1, 2, 3, 5,...) in every column.

(A000129 * 0^(n-k)) ) = the Pell series prefaced with a 1:

(1, 1, 2, 5, 12,...) as the main diagonal and the rest zeros.

First few rows of the triangle =

1;

1, 1;

2, 1, 2;

3, 2, 2, 5;

5, 3, 4, 5, 12;

8, 5, 6, 10, 12, 29;

13, 8, 10, 15, 24, 29, 70;

21, 13, 16, 25, 36, 58, 70, 169;

34, 21, 26, 40, 60, 87, 140, 169, 408;

55, 34, 42, 65, 96, 145, 210, 338, 408, 985;

...

Row 4 = (3, 2, 2, 5) = termwise products of (3, 2, 1, 1) and (1, 1, 2, 5).

Cf. A104762, A000045, A000129

Sequence in context: A132148 A159974 A143866 this_sequence A103342 A147784 A051329

Adjacent sequences: A154999 A155000 A155001 this_sequence A155003 A155004 A155005

eigen,nonn,tabl

Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Jan 18 2009