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A305164
a(n) = 28*2^n - 22.
3
6, 34, 90, 202, 426, 874, 1770, 3562, 7146, 14314, 28650, 57322, 114666, 229354, 458730, 917482, 1834986, 3669994, 7340010, 14680042, 29360106, 58720234, 117440490, 234881002, 469762026, 939524074, 1879048170, 3758096362, 7516192746, 15032385514, 30064771050, 60129542122, 120259084266, 240518168554
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
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