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A221002 The Wiener index of the nanostar dendrimer G[n], defined pictorially in the Karbasioun-Ashrafi reference. 1

%I #22 Feb 27 2024 13:39:24

%S 21558,141686,825078,4438006,22578678,110311926,522899958,2422104566,

%T 11019370998,49421451766,219106574838,962208334326,4192177750518,

%U 18142557897206,78066631049718,334254292599286,1424972878709238,6051724204704246,25614248465924598,108086444576211446,454863674100679158

%N The Wiener index of the nanostar dendrimer G[n], defined pictorially in the Karbasioun-Ashrafi reference.

%H A. Karbasioun and A. R. Ashrafi, <a href="https://doi.org/10.20450/mjcce.2009.221">Wiener and detour indices of a new type of nanostar dendrimers</a>, Macedonian J. of Chemistry and Chemical Engineering 28 (2009) 49-54.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (13,-64,148,-160,64).

%F a(n) = 502 + 2^(n+6)*5*(14*n+53)+4^(n+6)*(5n+1).

%F G.f.: -2*(84672*x^4-205344*x^3+181436*x^2-69284*x+10779) / ((x-1)*(2*x-1)^2*(4*x-1)^2). [_Colin Barker_, Jan 01 2013]

%p a := proc (n) options operator, arrow: 502+5*2^(n+6)*(14*n+53)+4^(n+6)*(5*n+1) end proc;:seq(a(n), n = 0 .. 20);

%t LinearRecurrence[{13,-64,148,-160,64},{21558,141686,825078,4438006,22578678},30] (* _Harvey P. Dale_, Jul 20 2019 *)

%Y Cf. A221003.

%K nonn,easy

%O 0,1

%A _Emeric Deutsch_, Dec 28 2012

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Last modified July 16 19:40 EDT 2024. Contains 374358 sequences. (Running on oeis4.)