A007385 Number of strict 5th-order maximal independent sets in path graph. (Formerly M2200)

0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 6, 0, 10, 1, 15, 4, 21, 10, 28, 20, 37, 35, 50, 56, 70, 84, 101, 121, 148, 171, 217, 241, 315, 342, 451, 490, 638, 707, 896, 1022, 1256, 1473, 1765, 2111, 2492, 3007, 3535, 4263, 5030, 6028, 7164, 8520, 10195

Offset

1,9

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Bagchi, ``K-th order maximal independent sets in path and cycle graphs,'' J. Graph Theory, submitted, 1994, apparently unpublished.

Links

Table of n, a(n) for n=1..53.

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

Formula

Apparently a(n)= 3*a(n-2) -3*a(n-4) +a(n-6) +a(n-7) -2*a(n-9) +a(n-11) with g.f. -x^7/((x^7+x^2-1)*(x-1)^2*(1+x)^2). [From R. J. Mathar, Oct 30 2009]

a(n) = A007380(n) - b(n) where b(2*n+1) = 1 and b(2*n) = n+1.- Sean A. Irvine, Jan 02 2018

Crossrefs

Cf. A007380.

Sequence in context: A115456 A328788 A007386 * A352610 A307644 A081978

Adjacent sequences: A007382 A007383 A007384 * A007386 A007387 A007388

Keyword

nonn

Author

N. J. A. Sloane, Mira Bernstein

Extensions

More terms from Sean A. Irvine, Jan 02 2018

Status

approved