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 A144217 Weight array of A144216: a rectangular array by antidiagonals. 2

%I

%S 0,1,1,2,0,2,3,0,0,3,4,0,0,0,4,5,0,0,0,0,5,6,0,0,0,0,0,6,7,0,0,0,0,0,

%T 0,7,8,0,0,0,0,0,0,0,8,9,0,0,0,0,0,0,0,0,9,10,0,0,0,0,0,0,0,0,0,10,11,

%U 0,0,0,0,0,0,0,0,0,0,11,12,0,0,0,0,0,0,0,0,0,0,0,12,13,0,0,0,0,0,0,0,0,0,0

%N Weight array of A144216: a rectangular array by antidiagonals.

%F Start with R(m,n)=(m(m-1)+n(n-1))/2 for m>=1,n>=1. Put R(m,n)=0 if m=0 or n=0. Define w(m,n)=R(m,n)-R(m-1,n-1)-R(m,n-1)-R(m-1,n) for m>=1, n>=1. Then the weight array W={w(m,n)} is A144217. (See A144112.)

%e Northwest corner:

%e 0 1 2 3 4 5

%e 1 0 0 0 0 0

%e 2 0 0 0 0 0

%e 3 0 0 0 0 0

%e 4 0 0 0 0 0

%Y Cf. A144217.

%K nonn,tabl

%O 1,4

%A _Clark Kimberling_, Sep 14 2008

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Last modified June 19 19:49 EDT 2021. Contains 345144 sequences. (Running on oeis4.)