

A208891


Pascal's triangle matrix augmented with a right border of 1's.


1



1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 6, 4, 1, 1, 1, 5, 10, 10, 5, 1, 1, 1, 6, 15, 20, 15, 6, 1, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 1, 8, 28, 56, 70, 56, 28, 8, 1, 1, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 1, 1, 10, 45, 120, 210, 252, 210, 120, 45
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OFFSET

0,8


COMMENTS

The eigensequence of this triangle starts as 1, 2, 4, 9, 23, 65,... (cf. A007476).
The flattened sequence differs from A135225 only by an additional leading 1.


LINKS



FORMULA

T(n,n)=1. T(n,k) = A007318(n1,k) for k<n.


EXAMPLE

First few rows of the triangle =
1;
1, 1;
1, 1, 1;
1, 2, 1, 1;
1, 3, 3, 1, 1;
1, 4, 6, 4, 1, 1;
1, 5, 10, 10, 5, 1, 1;
1, 6, 15, 20, 15, 6, 1, 1;
1, 7, 21, 35, 35, 21, 7, 1, 1;
1, 8, 28, 56, 70, 56, 28, 8, 1, 1;
1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 1;
1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 1;
...


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



