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 A224466 The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference. 1
 27180, 47750, 149614, 608478, 2894430, 15765790, 91789854, 535578398, 3038252830, 16628755230, 87950187294, 451486444318, 2259819129630, 11073313975070, 53298037467934, 252671079230238, 1182401611180830, 5471588447169310, 25074506044287774, 113930988546960158, 513775960055622430 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Z. S. Irani, A. Karbasioun, Wiener index of a new type of nanostar dendrimer, Iranian J. Math. Chem., 2, 2011, 79-85. LINKS Table of n, a(n) for n=0..20. FORMULA a(n) = 11038 + 2^n*(7000*n^2 -8060*n - 3132)+4^n*(1600*n^2 - 9600*n + 19274). G.f.: 2*(13590 - 234335*z + 1659682*z^2 - 6179084*z^3 + 12903624*z^4 - 14317312*z^5 + 6302848*z^6)/((1-z)*(1-2*z)^3*(1-4*z)^3). MAPLE a := proc (n) options operator, arrow: 11038+2^n*(7000*n^2-8060*n-3132)+4^n*(1600*n^2-9600*n+19274) end proc: seq(a(n), n = 0 .. 20); CROSSREFS Cf. A224465 Sequence in context: A210073 A236275 A228562 * A127411 A268358 A157814 Adjacent sequences: A224463 A224464 A224465 * A224467 A224468 A224469 KEYWORD nonn AUTHOR Emeric Deutsch, Jul 12 2013 STATUS approved

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)