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A284428 Number of all self-avoiding planar walks of length j (0<=j<=n) starting at (0,0), ending at (n-j,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal. 3
1, 0, 1, 1, 2, 1, 5, 5, 13, 15, 40, 44, 123, 156, 402, 536, 1361, 1857, 4689, 6681, 16536, 24286, 59400, 89131, 216114, 331324, 796029, 1243168, 2963859, 4700410, 11133792, 17901901, 42155014, 68618679, 160736012, 264497624, 616693942, 1024713750, 2379184108 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..675

Alois P. Heinz, Animation of a(12)=123 walks

Wikipedia, Lattice path

Wikipedia, Self-avoiding walk

CROSSREFS

Antidiagonal sums of A284414.

Sequence in context: A032006 A167158 A074392 * A096976 A052547 A119245

Adjacent sequences:  A284425 A284426 A284427 * A284429 A284430 A284431

KEYWORD

nonn,walk

AUTHOR

Alois P. Heinz, Mar 26 2017

STATUS

approved

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Last modified August 10 13:12 EDT 2022. Contains 356039 sequences. (Running on oeis4.)