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A007392 Number of strict 3rd-order maximal independent sets in cycle graph.
(Formerly M3727)
0
0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 12, 0, 21, 5, 32, 17, 45, 38, 65, 70, 99, 115, 156, 180, 247, 279, 385, 435, 590, 682, 896, 1067, 1360, 1657, 2073, 2553, 3173, 3913, 4865, 5986, 7455, 9159, 11407, 14024, 17434, 21479, 26636, 32886, 40705, 50320 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

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"K-th order maximal independent sets in path and cycle graphs", Journal of Graph Theory, submitted, 1994, apparently unpublished.

LINKS

Table of n, a(n) for n=1..51.

R. Yanco, Letter and Email to N. J. A. Sloane, 1994

FORMULA

Conjecture: a(n) = 3*a(n-2) - 3*a(n-4) + a(n-5) + a(n-6) - 2*a(n-7) + a(n-9) with g.f. x^10*(-5+3*x^2)/((x^5+x^2-1)*(x-1)^2*(1+x)^2). - R. J. Mathar, Oct 30 2009

a(n) = A007387(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. A007387.

Sequence in context: A156550 A088307 A208477 * A292105 A052401 A222946

Adjacent sequences:  A007389 A007390 A007391 * A007393 A007394 A007395

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mira Bernstein

EXTENSIONS

More terms from Sean A. Irvine, Jan 02 2018

STATUS

approved

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Last modified December 18 12:36 EST 2018. Contains 318229 sequences. (Running on oeis4.)