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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

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)