A302487 Total domination number of the n-Apollonian network.
2, 2, 3, 4, 7, 16, 43, 124, 367, 1096, 3283, 9844, 29527, 88576, 265723, 797164, 2391487, 7174456, 21523363, 64570084, 193710247, 581130736, 1743392203, 5230176604, 15690529807, 47071589416, 141214768243, 423644304724, 1270932914167, 3812798742496
Offset: 1
Links
- Eric Weisstein's World of Mathematics, Apollonian Network.
- Eric Weisstein's World of Mathematics, Total Domination Number.
- Index entries for linear recurrences with constant coefficients, signature (4,-3).
Formula
a(n) = (3^(n-3) + 5) / 2 = A291773(n) for n >= 3. - Andrew Howroyd, May 29 2025
Extensions
a(8)-a(9) corrected and a(10) onwards from Andrew Howroyd, May 29 2025