The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144225 Bordered Pascal's triangle in rectangular format. 5

%I #3 Mar 30 2012 18:57:11

%S 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,

%T 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,

%U 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

%N Bordered Pascal's triangle in rectangular format.

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

%F 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.

%e Northwest corner:

%e 1 0 0 0 0 0 0 0

%e 0 1 1 1 1 1 1 1

%e 0 1 2 3 4 5 6 7

%e 0 1 3 6 10 15 21 28

%e 0 1 4 10 20 35 56

%Y A007318, A144112.

%K nonn,tabl

%O 1,13

%A _Clark Kimberling_, Sep 15 2008

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)