The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A320421 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A320421

Number of closed self-avoiding paths on square lattice with 2*n steps, A010566(n)/8.
(history; published version)

#7 by Susanna Cuyler at Tue Jan 08 19:09:03 EST 2019

STATUS

proposed

approved

#6 by Hugo Pfoertner at Tue Jan 08 04:41:45 EST 2019

STATUS

editing

proposed

#5 by Hugo Pfoertner at Tue Jan 08 04:38:05 EST 2019

NAME

allocated for Hugo PfoertnerNumber of closed self-avoiding paths on square lattice with 2*n steps, A010566(n)/8.

DATA

0, 1, 3, 14, 70, 372, 2058, 11752, 68706, 409130, 2472646, 15127620, 93504944, 583032968, 3662883960, 23163461280, 147329432094, 941880843108, 6049001532148, 39007700026460, 252477751201074, 1639657957610596, 10680997864879592, 69772819359471480, 456959583009324200

OFFSET

1,3

COMMENTS

Rotations and reflections of the path are counted only once, but see A266549 for further elimination of path isomorphisms.

REFERENCES

See A010566.

CROSSREFS

Cf. A002931, A010566, A266549.

KEYWORD

allocated

nonn,walk

AUTHOR

Hugo Pfoertner, Jan 08 2019

STATUS

approved

editing

#4 by Hugo Pfoertner at Tue Jan 08 04:16:07 EST 2019

NAME

allocated for Hugo Pfoertner

KEYWORD

recycled

allocated

#3 by R. J. Mathar at Mon Jan 07 07:29:00 EST 2019

STATUS

editing

approved

#2 by R. J. Mathar at Mon Jan 07 07:28:57 EST 2019

NAME

allocated for Alex Bailey

KEYWORD

allocated

recycled

STATUS

approved

editing

#1 by Alex Bailey at Fri Oct 12 16:41:48 EDT 2018

NAME

allocated for Alex Bailey

KEYWORD

allocated

STATUS

approved