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A227716 Triangle read by rows: Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 2k+1. 7
2, 10, 8, 74, 56, 32, 518, 464, 288, 128, 3934, 3520, 2656, 1408, 512, 29914, 27768, 21920, 14336, 6656, 2048, 232094, 217316, 181456, 128256, 74240, 30720, 8192, 1812890, 1719616, 1475172, 1118592, 716288, 372736, 139264, 32768, 14277886, 13633972, 11989800, 9480048 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The number of walks ending with x = -k is the same as the number ending with x = k.

LINKS

Bert Dobbelaere, Table of n, a(n) for n = 0..135 (terms 0..77 from Joseph Myers)

J. L. Martin, The exact enumeration of self-avoiding walks on a lattice, Proc. Camb. Phil. Soc., 58 (1962), 92-101.

EXAMPLE

Initial rows (paths of length 1, 3, 5, ...):

{ 2 };

{ 10, 8 };

{ 74, 56, 32 };

{ 518, 464, 288, 128 }.

CROSSREFS

Cf. A001394, A001395, A001396, A001397, A001398, A227715.

Sequence in context: A189711 A092939 A006610 * A033839 A196367 A114264

Adjacent sequences:  A227713 A227714 A227715 * A227717 A227718 A227719

KEYWORD

nonn,walk,tabl

AUTHOR

Joseph Myers, Jul 21 2013

STATUS

approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)