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 A286760 Total number of nodes summed over all lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1), H=(1,0) and S=(0,1). 2
 1, 2, 10, 42, 214, 1098, 5978, 33190, 189078, 1093490, 6414714, 38027030, 227489950, 1370980490, 8314674202, 50696630838, 310541818382, 1909850054666, 11786947172234, 72969941803662, 452976340653030, 2818815920369754, 17579546535174946, 109850944544149134 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 MAPLE b:= proc(x, y) option remember; `if`(y<0 or y>x, 0, `if`(x=0, [1\$2],       (p-> p+[0, p[1]])(b(x-1, y)+b(x, y-1)+b(x-1, y-1)+b(x-1, y+1))))     end: a:= n-> b(n, 0)[2]: seq(a(n), n=0..30); CROSSREFS Cf. A225041. Sequence in context: A309182 A099553 A119694 * A197048 A175613 A296001 Adjacent sequences:  A286757 A286758 A286759 * A286761 A286762 A286763 KEYWORD nonn AUTHOR Alois P. Heinz, May 14 2017 STATUS approved

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Last modified August 24 18:47 EDT 2019. Contains 326295 sequences. (Running on oeis4.)