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A277921 Number of positive walks with n steps {-4,-3,-2,-1,0,1,2,3,4} starting at the origin, ending at altitude 2, and staying strictly above the x-axis. 1
0, 1, 4, 23, 142, 950, 6662, 48420, 361378, 2753687, 21334313, 167551836, 1330894754, 10673486660, 86306300366, 702872359332, 5759986152740, 47463395965108, 393027545388119, 3268814565684836, 27294209365111429, 228718165320327356, 1922825557218427271 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1053

C. Banderier, C. Krattenthaler, A. Krinik, D. Kruchinin, V. Kruchinin, D. Nguyen, and M. Wallner, Explicit formulas for enumeration of lattice paths: basketball and the kernel method, arXiv:1609.06473 [math.CO], 2016.

CROSSREFS

Cf. A276904, A276852, A276901, A276902, A276903.

Sequence in context: A038736 A091642 A162561 * A020079 A146964 A194006

Adjacent sequences:  A277918 A277919 A277920 * A277922 A277923 A277924

KEYWORD

nonn,walk

AUTHOR

David Nguyen, Nov 04 2016

STATUS

approved

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Last modified March 22 17:25 EDT 2019. Contains 321422 sequences. (Running on oeis4.)