Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A144225
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A144225 Bordered Pascal's triangle in rectangular format. +0
3
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; listen)
OFFSET

1,13

COMMENT

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

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 this_sequence A017837 A127840 A145153

Adjacent sequences: A144222 A144223 A144224 this_sequence A144226 A144227 A144228

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Sep 15 2008

page 1

Search completed in 0.005 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


AT&T Labs Research