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A224464 The hyper-Wiener index of the tetrathiafulvalene dendrimer defined pictorially as D[n] in the Shabani reference. 1
70159, 5540677, 94770993, 962654441, 7544225177, 50760280441, 309334151737, 1759763688889, 9520613312697, 49581897574073, 250630474019513, 1236980426140345, 5986802543205049, 28507052162513593, 133885149461756601 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
H. Shabani, Computing vertex PI index of tetrathiafulvalene dendrimers, Iranian J. Math. Chem., 1, 2010, 125-130.
LINKS
FORMULA
a(n) = 1489593 + 2^n*(-190960*n^2 +743480*n - 13082162)+4^n*(3013696*n^2 - 7398832*n + 11662728).
G.f. =(70159 + 4207656*z + 21980*z^2 - 51514000*z^3 + 55017216*z^4 + 32361728*z^5 + 54272*z^6)/((1-z)*(1-2*z)^3*(1-4*z)^3).
MAPLE
a:= proc (n) options operator, arrow: 1489593+2^n*(-190960*n^2+743480*n-13082162)+4^n*(3013696*n^2-7398832*n+11662728) end proc: seq(a(n), n = 0 .. 14);
CROSSREFS
Sequence in context: A043600 A043858 A043876 * A233987 A243135 A253738
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Jul 12 2013
STATUS
approved

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Last modified March 4 10:39 EST 2024. Contains 370528 sequences. (Running on oeis4.)