A010577 Number of n-step self-avoiding walks on 6-d cubic lattice.

1, 12, 132, 1452, 15852, 173172, 1887492, 20578452, 224138292, 2441606532, 26583605772, 289455960492, 3150796704012, 34298615880372, 373292253262692, 4062873240668412, 44214072776280252, 481167126859845852, 5235893033922430692, 56975931806991140292, 619957835069070600132, 6745858105534183489092

Offset

0,2

Links

Hugo Pfoertner, Table of n, a(n) for n = 0..24 [from Clisby link below]

N. Clisby, R. Liang and G. Slade Self-avoiding walk enumeration via the lace expansion J. Phys. A: Math. Theor. vol. 40 (2007) p 10973-11017, Table A8 for n<=24.

M. E. Fisher and D. S. Gaunt, Ising model and self-avoiding walks on hypercubical lattices and high density expansions, Phys. Rev. 133 (1964) A224-A239.

Crossrefs

Cf. A010576 (on 5-d cubic lattice), A010575 (on 4-d cubic lattice).

Sequence in context: A190873 A097826 A010580 * A163055 A163432 A163957

Adjacent sequences: A010574 A010575 A010576 * A010578 A010579 A010580

Keyword

nonn,walk

Author

N. J. A. Sloane.

Extensions

More terms from R. J. Mathar, Aug 31 2007

Corrected a(15), Hugo Pfoertner, Aug 16 2014

Status

approved