A224466 The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference.

27180, 47750, 149614, 608478, 2894430, 15765790, 91789854, 535578398, 3038252830, 16628755230, 87950187294, 451486444318, 2259819129630, 11073313975070, 53298037467934, 252671079230238, 1182401611180830, 5471588447169310, 25074506044287774, 113930988546960158, 513775960055622430

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