



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^(nk)).
A104762 = Fibonacci numbers "decrescendo", (1, 1, 2, 3, 5,...) in every column.
(A000129 * 0^(nk)) ) = 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



