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A003454 Number of nonequivalent dissections of an n-gon by nonintersecting diagonals rooted at a cell up to rotation.
(Formerly M1676)
7
1, 2, 6, 25, 107, 509, 2468, 12258, 61797, 315830, 1630770, 8498303, 44629855, 235974495, 1255105304, 6710883952, 36050676617, 194478962422, 1053120661726, 5722375202661, 31191334491891, 170504130213135, 934495666529380, 5134182220623958, 28270742653671621 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

COMMENTS

Total number of disections of a n-gon into polygons without reflection and rooted at a cell. - Sean A. Irvine, May 14 2015

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Andrew Howroyd, Table of n, a(n) for n = 3..200

P. Lisonek, Closed forms for the number of polygon dissections, Journal of Symbolic Computation 20 (1995), 595-601.

C. R. Read, On general dissections of a polygon, Aequat. math. 18 (1978) 370-388.

PROG

(PARI) \\ See A003442 for DissectionsModCyclicRooted.

DissectionsModCyclicRooted(apply(i->1, [1..30])) \\ Andrew Howroyd, Nov 22 2017

CROSSREFS

Cf. A001004, A003455, A003456, A005033, A295222.

Cf. A003442.

Sequence in context: A028302 A064811 A074418 * A199241 A276277 A299098

Adjacent sequences:  A003451 A003452 A003453 * A003455 A003456 A003457

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, May 14 2015

Name clarified by Andrew Howroyd, Nov 22 2017

STATUS

approved

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Last modified February 18 02:09 EST 2018. Contains 299297 sequences. (Running on oeis4.)