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A155002 Triangle read by rows, A104762 * (A000129 * 0^(n-k)) 1
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Eigentriangle, row sums = rightmost term of next row.

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

LINKS

Table of n, a(n) for n=1..55.

FORMULA

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.

EXAMPLE

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).

CROSSREFS

Cf. A104762, A000045, A000129

Sequence in context: A237829 A159974 A143866 * A182413 A296664 A209126

Adjacent sequences:  A154999 A155000 A155001 * A155003 A155004 A155005

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula, Jan 18 2009

STATUS

approved

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Last modified February 26 12:43 EST 2020. Contains 332280 sequences. (Running on oeis4.)