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A208891
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Pascal's triangle matrix augmented with a right border of 1's.
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1
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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
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0,8
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COMMENTS
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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.
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LINKS
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FORMULA
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T(n,n)=1. T(n,k) = A007318(n-1,k) for k<n.
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EXAMPLE
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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;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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