A127683 Number of non-isomorphic (i.e., defined up to a rotation and a reflection) maximal independent sets of the n-cycle graph having 2n isomorphic representatives.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 5, 4, 8, 9, 15, 16, 27, 30, 46, 54, 80, 96, 139, 167, 237, 292, 403, 501, 687, 862, 1164, 1472, 1974, 2512, 3347, 4274, 5668, 7275, 9604, 12359, 16278, 21006, 27597, 35690, 46819, 60663, 79478, 103128

Offset

1,19

Links

Table of n, a(n) for n=1..58.

R. Bisdorff and J.-L. Marichal, Counting non-isomorphic maximal independent sets of the n-cycle graph, arXiv:math/0701647 [math.CO], 2007-2008.

Formula

a(n) = (1/2)*(A113788(n) - Sum_(d|n} mu(n/d) A127682(d)).

Crossrefs

Cf. A113788, A127682.

Sequence in context: A008818 A089599 A206556 * A127686 A293548 A318844

Adjacent sequences: A127680 A127681 A127682 * A127684 A127685 A127686

Keyword

easy,nonn

Author

Jean-Luc Marichal (jean-luc.marichal(AT)uni.lu), Jan 24 2007

Status

approved