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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 (list; table; graph; refs; listen; history; text; internal format)
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(n-1,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
Sequence in context: A124279 A297299 A135225 * A177767 A047030 A047120
KEYWORD
nonn,easy,tabl
AUTHOR
Gary W. Adamson, Mar 03 2012
STATUS
approved

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Last modified May 24 12:09 EDT 2024. Contains 372773 sequences. (Running on oeis4.)