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A216226
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Square array T, read by antidiagonals: T(n,k) = 0 if n-k>=1 or if k-n>=4, T(0,0) = T(0,1) = T(0,2) = T(0,3) = 1, T(n,k) = T(n-1,k) + T(n,k-1).
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11
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1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 3, 2, 0, 0, 0, 3, 5, 0, 0, 0, 0, 0, 8, 5, 0, 0, 0, 0, 0, 8, 13, 0, 0, 0, 0, 0, 0, 0, 21, 13, 0, 0, 0, 0, 0, 0, 0, 21, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 34, 0, 0, 0, 0, 0
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OFFSET
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0,8
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LINKS
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FORMULA
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Sum_{k, 0<=k<=n} T(n-k,k) = A000045(n+1).
Sum_{k, k>=0} T(n,k) = A000285(2*n+1).
Sum_{n, n>=0} T(n,k) = A000285(2*k-2), k>=2.
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 0, 0, 0, 0, 0, 0, ... row n=0
0, 1, 2, 3, 3, 0, 0, 0, 0, 0, ... row n=1
0, 0, 2, 5, 8, 8, 0, 0, 0, 0, ... row n=2
0, 0, 0, 5, 13, 21, 21, 0, 0, 0, ... row n=3
0, 0, 0, 0, 13, 34, 55, 55, 0, 0, ... row n=4
0, 0, 0, 0, 0, 34, 89, 144, 144, 0, ... row n=5
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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