A393020 Number of total dominating sets in the n-Cameron graph.

425, 53117, 6689805, 842216265, 106035147621, 13349861280333, 1680752272444173, 211607284330395225, 26641429510340049489, 3354165092840945600997, 422290533099011820109713, 53166522638373814048240521, 6693683395449992415563405421, 842737030279038311792600033037

Offset

1,1

Links

Andrew Howroyd, Table of n, a(n) for n = 1..400

Eric Weisstein's World of Mathematics, Cameron Graph.

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

Index entries for linear recurrences with constant coefficients, signature (102,2649,39708,669006,4838076,8809074,106483572,10620315,-241026354,18666045,9447840,-8503056).

Formula

G.f.: x*(425 + 9767*x + 146046*x^2 + 2273322*x^3 + 14297760*x^4 + 14786064*x^5 + 344728386*x^6 - 318946734*x^7 - 640999737*x^8 + 840460941*x^9 - 711267804*x^10 + 168801408*x^11 + 56450844*x^12 - 34012224*x^13)/(1 - 102*x - 2649*x^2 - 39708*x^3 - 669006*x^4 - 4838076*x^5 - 8809074*x^6 - 106483572*x^7 - 10620315*x^8 + 241026354*x^9 - 18666045*x^10 - 9447840*x^11 + 8503056*x^12). - Andrew Howroyd, Jul 06 2026

Crossrefs

Cf. A387433.

Sequence in context: A294712 A160098 A349940 * A203343 A207233 A207226

Adjacent sequences: A393017 A393018 A393019 * A393021 A393022 A393023

Keyword

nonn,easy

Author

Eric W. Weisstein, Mar 10 2026

Extensions

a(4) onward from Andrew Howroyd, Jul 06 2026

Status

approved