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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 (list; table; graph; refs; listen; history; text; internal format)
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+n-2,m-1). 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

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)