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Search: id:A026692
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| A026692 |
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Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1<=k<=n-1, T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-1,k) if k or n-k is of form 2h for h=1,2,...,[ n/4 ], else T(n,k)=T(n-1,k-1)+T(n-1,k). |
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+0
16
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 8, 4, 1, 1, 5, 15, 15, 5, 1, 1, 6, 24, 30, 24, 6, 1, 1, 7, 35, 54, 54, 35, 7, 1, 1, 8, 48, 89, 138, 89, 48, 8, 1, 1, 9, 63, 137, 281, 281, 137, 63, 9, 1, 1, 10, 80, 200, 507, 562, 507, 200, 80, 10, 1, 1, 11, 99, 280, 844
(list; table; graph; listen)
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OFFSET
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1,5
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FORMULA
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T(n, k) = number of paths from (0, 0) to (n-k, k) in directed graph having vertices (i, j) and edges (i, j)-to-(i+1, j) and (i, j)-to-(i, j+1) for i, j >= 0 and edges (i, j)-to-(i+1, j+1) for i odd and j >= i and for j odd and i >= j.
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CROSSREFS
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Sequence in context: A104878 A135597 A073134 this_sequence A114202 A125806 A156354
Adjacent sequences: A026689 A026690 A026691 this_sequence A026693 A026694 A026695
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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