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Search: id:A026659
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| A026659 |
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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, if n is odd, then T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-1,k) if k is odd and <=[ n/2 ] or if k is even and >[ n/2 ]; in all other cases, 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, 4, 4, 1, 1, 5, 8, 5, 1, 1, 7, 13, 13, 7, 1, 1, 8, 20, 26, 20, 8, 1, 1, 10, 28, 59, 59, 28, 10, 1, 1, 11, 38, 87, 118, 87, 38, 11, 1, 1, 13, 49, 153, 205, 205, 153, 49, 13, 1, 1, 14, 62, 202, 358, 410, 358, 202, 62, 14, 1, 1, 16
(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) if (i, j) is of form (2i+2h+1, 2h) or (2h, 2i+2h+1) for i, h>=0.
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CROSSREFS
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Sequence in context: A055370 A156609 A026637 this_sequence A026386 A147532 A156580
Adjacent sequences: A026656 A026657 A026658 this_sequence A026660 A026661 A026662
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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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