

A144963


Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115,...).


2



1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 4, 9, 8, 3, 4, 4, 9, 20, 16, 8, 6, 8, 9, 20, 48, 41, 16, 16, 12, 18, 20, 48, 115, 98, 41, 32, 32, 27, 40, 115, 286, 250, 98, 82, 64, 72, 60, 96, 115, 286, 719
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,6


COMMENTS

Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115,...)
Right border = (1, 1, 2, 4, 9, 20, 48,...).
Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41,...)
Sum of nth row terms = rightmost term of next row.


LINKS

Table of n, a(n) for n=1..54.


FORMULA

Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48,...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1;...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41,...).


EXAMPLE

First few rows of the triangle =
1;
1, 1;
1, 1, 2;
2, 1, 2, 4;
3, 2, 2, 4, 9;
8, 3, 4, 4, 9, 20;
16, 8, 6, 8, 9, 20, 48;
41, 16, 16, 12, 18, 20, 48, 115;
98, 41, 32, 3227, 40, 48, 115, 286;
...
Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4).


CROSSREFS

Sequence in context: A129687 A274742 A128176 * A035374 A229219 A048299
Adjacent sequences: A144960 A144961 A144962 * A144964 A144965 A144966


KEYWORD

eigen,nonn,tabl


AUTHOR

Gary W. Adamson, Sep 27 2008


STATUS

approved



