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 A127832 Array T by antidiagonals: for h>=0 and k>=0, T(h,k)=number of UR paths from (0,0) to (h,k) that touch the line y=2x/3 only at lattice points. A UR path is a path of steps of length 1 each directed up or right. 1
 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 4, 5, 4, 3, 1, 1, 5, 9, 9, 7, 4, 1, 1, 6, 14, 18, 9, 11, 5, 1, 1, 7, 20, 32, 27, 11, 16, 6, 1, 1, 8, 27, 52, 59, 27, 27, 22, 7, 1, 1, 9, 35, 79, 111, 86, 54, 49, 29, 8, 1, 1, 10, 44, 114, 190, 197, 140, 103, 78, 37, 9, 1, 1, 11, 54, 158, 304, 387 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS EXAMPLE Northwest corner: 0 1 1 1 1 1 1 1 2 3 4 5 1 1 2 5 9 14 1 2 4 9 18 32 1 3 7 9 27 59 The 4 UR paths for T(3,2) are RRRUU, RRURU, UURRR, URURR. These paths touch the line y=2x/3 only at the lattice points (0,0) and (3,2). CROSSREFS Cf. A047110, A127833. Sequence in context: A089398 A047040 A047020 * A107249 A062842 A126805 Adjacent sequences:  A127829 A127830 A127831 * A127833 A127834 A127835 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Feb 01 2007 STATUS approved

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