Search: id:A144225
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%I A144225
%S A144225 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,
%T A144225 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,
%U A144225 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 A144225 Bordered Pascal's triangle in rectangular format.
%C A144225 This is the weight array (defined at A144112) of Pascal's rectangle - 
               that is, Pascal's triangle A007318 formatted as a rectangle.
%F A144225 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 A144225 Northwest corner:
%e A144225 1 0 0 0 0 0 0 0
%e A144225 0 1 1 1 1 1 1 1
%e A144225 0 1 2 3 4 5 6 7
%e A144225 0 1 3 6 10 15 21 28
%e A144225 0 1 4 10 20 35 56
%Y A144225 A007318, A144112.
%Y A144225 Sequence in context: A036867 A036866 A159854 this_sequence A017837 A127840 
               A145153
%Y A144225 Adjacent sequences: A144222 A144223 A144224 this_sequence A144226 A144227 
               A144228
%K A144225 nonn,tabl
%O A144225 1,13
%A A144225 Clark Kimberling (ck6(AT)evansville.edu), Sep 15 2008

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