A381190 Number of connected minimal dominating sets in the n-trapezohedral graph.

6, 16, 30, 36, 70, 96, 144, 220, 308, 456, 650, 924, 1320, 1856, 2618, 3672, 5130, 7160, 9954, 13816, 19136, 26448, 36500, 50284, 69174, 95032, 130384, 178680, 244590, 334464, 456918, 623628, 850430, 1158768, 1577680, 2146468, 2918292, 3965040, 5383874, 7306068

Offset

3,1

Links

Table of n, a(n) for n=3..42.

Eric Weisstein's World of Mathematics, Connected Graph.

Eric Weisstein's World of Mathematics, Minimal Dominating Set.

Eric Weisstein's World of Mathematics, Trapezohedral Graph.

Formula

Conjectured g.f.: -2 * x^3 * (4*x^5 + 8*x^4 + 4*x^3 - 9*x^2 - 8*x - 3) / (x^3 + x^2 - 1)^2. - Joerg Arndt, Jan 07 2026

Crossrefs

Cf. A370089, A372712, A381794.

Sequence in context: A164052 A264938 A350011 * A168472 A054000 A113742

Adjacent sequences: A381187 A381188 A381189 * A381191 A381192 A381193

Keyword

nonn

Author

Eric W. Weisstein, Feb 16 2025

Extensions

a(14) onward from Christian Sievers, Jan 02 2026

Status

approved