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A227483 The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the M. Mirzargar reference. 1
23529, 1111869, 16608702, 159373080, 1213425084, 8031303684, 48448565652, 273777454260, 1474280952564, 7651723403124, 38578878478452, 190021655079540, 918191706377844, 4366324687656564, 20484111138612852, 94990079602722420, 436088524069815924, 1984521827742566004, 8961378366065460852, 40189159189476918900, 179133147653840946804 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
M. Mirzargar, PI, Szeged and edge Szeged polynomials of a dendrimer nanostar, MATCH, Commun. Math. Comput. Chem. 62, 2009, 363-370.
FORMULA
a(n) = 116340 - 2^n*3768423/2+4^n*(455625*n^2 - 2112075*n/2 + 3582801/2).
G.f.: 3*(7843 +252978*x + 651387*x^2 +134852*x^3)/((1-x)*(1-2*x)*(1-4*x)^3).
MAPLE
a := proc (n) options operator, arrow: 116340-(3768423/2)*2^n+4^n*(455625*n^2-(2112075/2)*n+3582801/2) end proc: seq(a(n), n = 0 .. 20);
CROSSREFS
Cf. A227482.
Sequence in context: A253310 A253658 A253728 * A237508 A177827 A304652
KEYWORD
nonn,easy
AUTHOR
Emeric Deutsch, Jul 13 2013
STATUS
approved

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Last modified May 26 23:01 EDT 2024. Contains 372847 sequences. (Running on oeis4.)