

A007394


Number of strict 7thorder maximal independent sets in cycle graph.
(Formerly M4590)


0



0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 20, 0, 33, 0, 48, 0, 65, 9, 84, 29, 105, 62, 128, 110, 153, 175, 189, 259, 247, 364, 340, 492, 483, 645, 693, 834, 989, 1081, 1392, 1421, 1925, 1904, 2613, 2597, 3492, 3586, 4620, 4978, 6090
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OFFSET

1,18


REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
R. Yanco and A. Bagchi, Kth order maximal independent sets in path and cycle graphs, J. Graph Theory, submitted, 1994.


LINKS

Table of n, a(n) for n=1..58.
R. Yanco, Letter and Email to N. J. A. Sloane, 1994


FORMULA

Empirical g.f.: x^18*(7*x^29) / ((x1)^2*(x+1)^2*(x^9+x^21)).  Colin Barker, Mar 29 2014
a(n) = A007389(n)  b(n) where b(1) = 0, b(2*n+1) = 2*n+1, b(2*n) = 2.  Sean A. Irvine, Jan 02 2018


CROSSREFS

Cf. A007389.
Sequence in context: A136679 A299154 A070929 * A067153 A057405 A167354
Adjacent sequences: A007391 A007392 A007393 * A007395 A007396 A007397


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Mira Bernstein


EXTENSIONS

More terms from Sean A. Irvine, Jan 02 2018


STATUS

approved



