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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

Table of n, a(n) for n=1..15.

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

Cf. A224463

Sequence in context: A043600 A043858 A043876 * A233987 A243135 A253738

Adjacent sequences:  A224461 A224462 A224463 * A224465 A224466 A224467

KEYWORD

nonn

AUTHOR

Emeric Deutsch, Jul 12 2013

STATUS

approved

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Last modified January 22 05:13 EST 2021. Contains 340360 sequences. (Running on oeis4.)