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A271507 Number of self-avoiding walks of any length from NW to SW corners on an n X n grid or lattice. 11

%I #17 May 28 2021 19:11:21

%S 1,2,11,178,8590,1246850,550254085,741333619848,3046540983075504,

%T 38141694646516492843,1453908228148524205711098,

%U 168707605740228097581729005751,59588304533380500951726150179910606,64061403305026776755367065417308840021540

%N Number of self-avoiding walks of any length from NW to SW corners on an n X n grid or lattice.

%t A271465 = Cases[Import["https://oeis.org/A271465/b271465.txt", "Table"], {_, _}][[All, 2]];

%t a[n_] := A271465[[2 n^2 - 2 n + 1]];

%t Table[a[n], {n, 1, 14}] (* _Jean-François Alcover_, Sep 23 2019 *)

%o (Python)

%o # Using graphillion

%o from graphillion import GraphSet

%o import graphillion.tutorial as tl

%o def A271507(n):

%o if n == 1: return 1

%o universe = tl.grid(n - 1, n - 1)

%o GraphSet.set_universe(universe)

%o start, goal = 1, n

%o paths = GraphSet.paths(start, goal)

%o return paths.len()

%o print([A271507(n) for n in range(1, 10)]) # _Seiichi Manyama_, Mar 21 2020

%Y Main diagonal of A271465.

%Y Cf. A007764, A000532, A001184, A145157, A120443, A003763.

%K nonn

%O 1,2

%A _Andrew Howroyd_, Apr 08 2016

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)