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 A284416 Number of self-avoiding planar walks of length 2n starting at (0,0), ending at (n,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, 1, 1, 7, 17, 116, 536, 3732, 21609, 152225, 991680, 7142207, 49671146, 364955208, 2644449147, 19764753353, 147264417970, 1116423286310, 8488332597668, 65109780090520, 502742629038600, 3893865922507871, 30436537169536769, 237651376621912220 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..360 Alois P. Heinz, Animation of a(5)=116 walks Wikipedia, Lattice path Wikipedia, Self-avoiding walk FORMULA a(n) = A284414(n,2n). CROSSREFS Cf. A284414. Sequence in context: A067185 A205989 A262474 * A063384 A165246 A266382 Adjacent sequences:  A284413 A284414 A284415 * A284417 A284418 A284419 KEYWORD nonn,walk AUTHOR Alois P. Heinz, Mar 26 2017 STATUS approved

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Last modified April 18 07:59 EDT 2021. Contains 343084 sequences. (Running on oeis4.)