A216115 The Hyper-Wiener index of a link of n fullerenes C_{20} (see the Ghorbani and Hosseinzadeh reference).

1020, 11020, 39600, 99960, 208900, 386820, 657720, 1049200, 1592460, 2322300, 3277120, 4498920, 6033300, 7929460, 10240200, 13021920, 16334620, 20241900, 24810960, 30112600, 36221220, 43214820, 51175000, 60186960, 70339500, 81725020, 94439520, 108582600, 124257460, 141570900

Offset

1,1

Comments

The Hosoya-Wiener polynomial of the graph is nw + r^2*(t^{3n+1}-nt^4+nt-t)/(t^3-1)^2, where w = 20 +30t +60t^2+60t^3+30t^4+10t^5 and r=1+3t+6t^2+6t^3+3t^4+t^5.

References

M. Ghorbani and M. A. Hosseinzadeh, On Wiener index of special case of link fullerenes, Optoelectronics and advanced materials - Rapid Communications, 4, 2010, 538-539.

Links

Table of n, a(n) for n=1..30.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = 10*n*(15n^3 +70n^2 + 134n - 117).

G.f.: -20*x*(98*x^3-265*x^2+296*x+51)/(x-1)^5. [Colin Barker, Oct 31 2012]

Maple

seq(150*n^4+700*n^3+1340*n^2-1170*n, n=1..30);

Crossrefs

Cf. A216114.

Sequence in context: A157510 A015160 A102925 * A024020 A383930 A069791

Adjacent sequences: A216112 A216113 A216114 * A216116 A216117 A216118

Keyword

nonn,easy

Author

Emeric Deutsch, Oct 28 2012

Status

approved