A001334 -id:A001334 - cp's OEIS frontend

A213451 Number of fixed triangular strip polyedges with n edges.

3, 15, 69, 309, 1365, 5973, 25941, 112065, 482067, 2066583, 8834469, 37677603, 160367343

Offset: 1

N. J. A. Sloane, Jun 11 2012

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

C. Domb, On the theory of cooperative phenomena in crystals, Advances in Phys., 9 (1960), 149-361. See page 354.

Apparently, a(n) = A001334(n)/2 for n >= 1. It needs to be clarified whether the objects described by this sequence are equivalent to the self-avoiding walks on the hexagonal lattice together with a restriction on their orientation. - Hugo Pfoertner, Jul 24 2021

Better description and more terms from Joseph Myers, Jun 12 2012

A260017 Triangle read by rows giving certain self-avoiding walk data for the triangular lattice.

Original entry on oeis.org

6, 30, 12, 138, 48, 24, 618, 180, 84, 60, 2730, 792, 264, 192, 180, 11946, 3444, 1128, 528, 552, 588

Offset: 1

N. J. A. Sloane, Jul 13 2015

See Redner (1980) for precise definition.

			Triangle begins:
6,
30,12,
138,48,24,
618,180,84,60,
2730,792,264,192,180,
11946,3444,1128,528,552,588,
...

S. Redner, Distribution functions in the interior of polymer chains, J. Phys. A 13 (1980), 3525-3541, doi:10.1088/0305-4470/13/11/023.

Diagonals include A001334, A007200, A007201.

cp's OEIS Frontend

A213451 Number of fixed triangular strip polyedges with n edges.

Views

Author

Keywords

References

Links

Crossrefs

Formula

Extensions