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A303835 Number of noncrossing path sets on n nodes up to rotation and reflection with isolated vertices allowed. 3
1, 1, 2, 3, 8, 19, 64, 212, 833, 3360, 14476, 63848, 289892, 1338000, 6275589, 29791100, 142973014, 692507861, 3382070233, 16638445745, 82395500651, 410463736691, 2055858519575, 10347925039015, 52321093290715, 265648012207312, 1353953547877556, 6925400869302520 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200

EXAMPLE

Case n=3: There are 3 possibilities:

.

     o        o       o

                     / \

   o   o    o---o   o   o

.

Case n=4: There are 8 possibilities:

.

   o   o    o   o    o   o    o   o    o   o    o---o    o   o    o---o

                       /      |          /               |   |      /

   o   o    o---o    o   o    o---o    o---o    o---o    o---o    o---o

.

PROG

(PARI) \\ See A303731 for NCPathSetsModDihedral

Vec(NCPathSetsModDihedral(vector(30, k, 1)))

CROSSREFS

Cf. A303731, A303839.

Sequence in context: A321255 A243791 A243335 * A007999 A006609 A005663

Adjacent sequences:  A303832 A303833 A303834 * A303836 A303837 A303838

KEYWORD

nonn

AUTHOR

Andrew Howroyd, May 01 2018

STATUS

approved

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Last modified June 20 19:33 EDT 2019. Contains 324234 sequences. (Running on oeis4.)