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A304612 a(n) = 75*2^n - 38. 4
37, 112, 262, 562, 1162, 2362, 4762, 9562, 19162, 38362, 76762, 153562, 307162, 614362, 1228762, 2457562, 4915162, 9830362, 19660762, 39321562, 78643162, 157286362, 314572762, 629145562, 1258291162, 2516582362, 5033164762, 10066329562, 20132659162, 40265318362, 80530636762, 161061273562 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
a(n) is the number of vertices of the nanostar dendrimer NS[n] from the Mirzargar reference.
LINKS
M. Mirzargar, PI, Szeged and edge Szeged polynomials of a dendrimer nanostar, MATCH, Commun. Math. Comput. Chem. 62, 2009, 363-370.
FORMULA
G.f.: (37 + x)/((1 - x)*(1 - 2*x)). - Bruno Berselli, May 17 2018
MAPLE
seq(75*2^n-38, n = 0 .. 40);
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
Sequence in context: A176549 A118536 A003164 * A138638 A193105 A044288
KEYWORD
nonn,easy
AUTHOR
Emeric Deutsch, May 16 2018
STATUS
approved

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Last modified February 26 15:44 EST 2024. Contains 370352 sequences. (Running on oeis4.)