A151541 Number of 2-sided triangular strip polyedges with n cells.

1, 3, 8, 32, 123, 523, 2201, 9443, 40341, 172649, 736926, 3141607, 13367012, 56790498, 240919918, 1020753475, 4319803799, 18262494912, 77134873774, 325518862387, 1372679840360, 5784417772262

Offset: 1

Author

Ed Pegg Jr, May 13 2009

Keywords

• nonn
• walk
• hard
• more

Comments

Also number of unrooted self-avoiding walks of n steps on hexagonal [ =triangular ] lattice. - Hugo Pfoertner, Jun 23 2018

Links

• Ed Pegg, Jr., Illustrations of polyforms
• Hugo Pfoertner, Illustration of ratio A001334(n)/a(n) using Plot2.
• Eric Weisstein's World of Mathematics, Polyedge

Crossrefs

Cf. A037245, A151539, A151540, A159867, A266925.

Asymptotically approaches (1/24)*A001334(n) for increasing n.

Extensions

a(9)-a(13) from Joseph Myers, Oct 05 2011

a(14)-a(22) from Bert Dobbelaere, Mar 23 2025