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 A243835 Number A(n,k) of Dyck paths of semilength n having exactly nine (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of k, where 1=U=(1,1) and 0=D=(1,-1); square array A(n,k), n>=0, k>=0, read by antidiagonals. 13
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4862, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4862, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 825, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 9075, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,55 LINKS Alois P. Heinz, Antidiagonals n = 0..140, flattened EXAMPLE Square array A(n,k) begins:      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,   0,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...   4862, 4862,   1,  0, 0,  0, 0, 0, 0, 0, 0, 0, ...      0,    0,  45,  1, 0,  1, 0, 0, 0, 0, 1, 0, ...      0,    0, 825, 55, 0, 10, 0, 1, 0, 0, 1, 0, ... CROSSREFS Main diagonal gives A243778 or column k=9 of A243752. Cf. A243753, A243827, A243828, A243829, A243830, A243831, A243832, A243833, A243834, A243836. Sequence in context: A031838 A331664 A031826 * A124088 A244106 A264182 Adjacent sequences:  A243832 A243833 A243834 * A243836 A243837 A243838 KEYWORD nonn,tabl AUTHOR Alois P. Heinz, Jun 11 2014 STATUS approved

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Last modified December 9 09:37 EST 2021. Contains 349627 sequences. (Running on oeis4.)