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A303836 Number of noncrossing path sets on n nodes up to rotation with isolated vertices allowed. 3
1, 1, 2, 3, 10, 26, 103, 371, 1552, 6475, 28414, 126530, 577188, 2670332, 12538434, 59554199, 285882600, 1384875627, 6763821250, 33276183371, 164789380052, 820923863918, 4111708742153, 20695831549310, 104642143845428, 531295928725508, 2707906874407464 (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=4: There are 10 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    o---o    o---o    o---o    o---o

.

PROG

(PARI) \\ See A303732 for NCPathSetsModCyclic

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

CROSSREFS

Row sums of A303869.

Cf. A303732, A303844.

Sequence in context: A182926 A005225 A211208 * A238937 A278088 A052929

Adjacent sequences:  A303833 A303834 A303835 * A303837 A303838 A303839

KEYWORD

nonn

AUTHOR

Andrew Howroyd, May 01 2018

STATUS

approved

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Last modified June 19 06:47 EDT 2019. Contains 324218 sequences. (Running on oeis4.)