A007394 Number of strict 7th-order 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, 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

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, K-th 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^2-9) / ((x-1)^2*(x+1)^2*(x^9+x^2-1)). - 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