OFFSET
0,1
COMMENTS
a(n) is the number of edges of the second type dendrimer nanostar NS2[n], defined pictorially in the Chen et al. reference (Fig. 1).
LINKS
S. Chen and J. Yang, Second-order and third-order connectivity indices of dendrimer nanostars, International Mathematical Forum, 6, No, 5, 2011, 223-228.
Index entries for linear recurrences with constant coefficients, signature (3,-2).
FORMULA
G.f.: 2*(3 + 8*x)/((1 - x)*(1 - 2*x)). - Vincenzo Librandi, May 27 2018
MAPLE
seq(28*2^n-22, n = 0 .. 40);
MATHEMATICA
Table[28 2^n - 22, {n, 0, 33}] (* Vincenzo Librandi, May 27 2018 *)
LinearRecurrence[{3, -2}, {6, 34}, 40] (* Harvey P. Dale, Jun 15 2023 *)
PROG
(Magma) [28*2^n-22: n in [0..33]]; // Vincenzo Librandi, May 27 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Emeric Deutsch, May 27 2018
STATUS
approved