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A118964 Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that have k double rises above the x-axis (n>=1,k>=0). (A Grand Dyck path of semilength n is a path in the half-plane x>=0, starting at (0,0), ending at (2n,0) and consisting of steps u=(1,1) and d=(1,-1); a double rise in a Grand Dyck path is an occurrence of uu in the path.) +0
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2, 5, 1, 14, 5, 1, 42, 19, 8, 1, 132, 67, 40, 12, 1, 429, 232, 166, 79, 17, 1, 1430, 804, 634, 395, 145, 23, 1, 4862, 2806, 2335, 1708, 879, 249, 30, 1, 16796, 9878, 8480, 6824, 4376, 1823, 404, 38, 1, 58786, 35072, 30691, 26137, 19334, 10521, 3542, 625, 47, 1 (list; graph; listen)
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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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