A290381 Number of minimal dominating sets in the n-web graph.
22, 53, 146, 338, 995, 2661, 6961, 18770, 50161, 134426, 359126, 960419, 2570837, 6875493, 18392182, 49200125, 131613970, 352077098, 941809667, 2519398997, 6739522745, 18028532346, 48227208121, 129010104410, 345108392014, 923181669827, 2469555755813
Offset: 3
Keywords
Links
- Andrew Howroyd, Table of n, a(n) for n = 3..200
- Eric Weisstein's World of Mathematics, Minimal Dominating Set
- Eric Weisstein's World of Mathematics, Web Graph
Formula
Empirical: a(n) = a(n-1)+2*a(n-2)+5*a(n-3) +4*a(n-4)+4*a(n-5)-8*a(n-6) for n>8. - Andrew Howroyd, Aug 01 2017
Empirical g.f.: x^3*(22 + 31*x + 49*x^2 - 24*x^3 + 12*x^4 - 40*x^5) / (1 - x - 2*x^2 - 5*x^3 - 4*x^4 - 4*x^5 + 8*x^6). - Colin Barker, Aug 01 2017
Extensions
Terms a(7) and beyond from Andrew Howroyd, Aug 01 2017