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A336724
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Number of n-step self-avoiding walks on the half-Manhattan square lattice.
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3
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1, 3, 7, 17, 37, 83, 181, 399, 863, 1887, 4057, 8797, 18851, 40649, 86911, 186705, 398413, 853407, 1818099, 3885377, 8266359, 17632961, 37473467, 79814011, 169457991, 360469139, 764700473, 1624915019, 3444615545, 7312733017, 15492242679, 32862908109, 69581860921, 147497088201
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OFFSET
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0,2
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COMMENTS
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In the half-Manhattan lattice, E-W streets run alternately E and W, but N-S streets are two way.
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LINKS
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Table of n, a(n) for n=0..33.
Sean A. Irvine, Java program (github)
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CROSSREFS
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Cf. A336705 (coordination sequence), A336742 (self-avoiding cycles), A117633 (Manhattan lattice), A001411 (square lattice), A322419 (L-lattice).
Sequence in context: A033489 A357212 A323583 * A178941 A178155 A330457
Adjacent sequences: A336721 A336722 A336723 * A336725 A336726 A336727
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KEYWORD
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nonn,walk
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AUTHOR
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Sean A. Irvine, Aug 01 2020
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STATUS
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approved
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