OFFSET
0,1
COMMENTS
a(n) is the number of vertices of the nanostar dendrimer NS[n] from the Mirzargar reference.
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
M. Mirzargar, PI, Szeged and edge Szeged polynomials of a dendrimer nanostar, MATCH, Commun. Math. Comput. Chem. 62, 2009, 363-370.
Index entries for linear recurrences with constant coefficients, signature (3,-2).
FORMULA
G.f.: (37 + x)/((1 - x)*(1 - 2*x)). - Bruno Berselli, May 17 2018
MAPLE
seq(75*2^n-38, n = 0 .. 40);
MATHEMATICA
75*2^Range[0, 50] - 38 (* Paolo Xausa, Jul 31 2024 *)
PROG
(PARI) a(n) = 75*2^n - 38; \\ Altug Alkan, May 17 2018
(PARI) Vec((37 + x)/((1 - x)*(1 - 2*x)) + O(x^40)) \\ Colin Barker, May 23 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Emeric Deutsch, May 16 2018
STATUS
approved