

A144225


Bordered Pascal's triangle in rectangular format.


5



1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 3, 3, 1, 0, 0, 1, 4, 6, 4, 1, 0, 0, 1, 5, 10, 10, 5, 1, 0, 0, 1, 6, 15, 20, 15, 6, 1, 0, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 0, 1, 8, 28, 56, 70, 56, 28, 8, 1, 0, 0, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 0, 1, 10, 45, 120, 210, 252, 210, 120, 45
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OFFSET

1,13


COMMENTS

This is the weight array (defined at A144112) of Pascal's rectangle  that is, Pascal's triangle A007318 formatted as a rectangle.


LINKS

Table of n, a(n) for n=1..88.


FORMULA

After deleting row 1, (1 0 0 0 ...) and column 1, (1 0 0 0 ...), the remaining array is given by R(m,n)=C(m+n2,m1). This "Pascal rectangle" is the accumulation array of A144225.


EXAMPLE

Northwest corner:
1 0 0 0 0 0 0 0
0 1 1 1 1 1 1 1
0 1 2 3 4 5 6 7
0 1 3 6 10 15 21 28
0 1 4 10 20 35 56


CROSSREFS

A007318, A144112.
Sequence in context: A036867 A036866 A159854 * A017837 A127840 A145153
Adjacent sequences: A144222 A144223 A144224 * A144226 A144227 A144228


KEYWORD

nonn,tabl


AUTHOR

Clark Kimberling, Sep 15 2008


STATUS

approved



