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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 Table of n, a(n) for n=0..20. 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 Adjacent sequences: A227480 A227481 A227482 * A227484 A227485 A227486 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.)