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A216106 The Wiener index of the tetrameric 1,3-adamantane TA(n) (see the Fath-Tabar et al. reference). 1
96, 652, 1968, 4344, 8080, 13476, 20832, 30448, 42624, 57660, 75856, 97512, 122928, 152404, 186240, 224736, 268192, 316908, 371184, 431320, 497616, 570372, 649888, 736464, 830400, 931996, 1041552, 1159368, 1285744, 1420980 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The Hosoya-Wiener polynomial of TA(n) is n(10+12t+18t^2+12t^3+3t^4)+(1+3t+3t^2+3t^3)^2*(t^{3n+1}-nt^4+nt-1)/(t^3-1)^2.

LINKS

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

G. H. Fath-Tabar, A. Azad, and N. Elahinezhad, Some topological indices of tetrameric 1,3-adamantane, Iranian J. Math. Chemistry, 1, No. 1, 2010, 111-118.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 50n^3 + 80n^2 - 34n.

G.f.: -4*x*(16*x^2-67*x-24)/(x-1)^4. [Colin Barker, Oct 31 2012]

MAPLE

seq(50*n^3+80*n^2-34*n, n=1..30);

CROSSREFS

Cf. A216107.

Sequence in context: A251167 A251160 A233029 * A268795 A232405 A269032

Adjacent sequences:  A216103 A216104 A216105 * A216107 A216108 A216109

KEYWORD

nonn,easy

AUTHOR

Emeric Deutsch, Oct 26 2012

STATUS

approved

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Last modified October 16 06:00 EDT 2019. Contains 328046 sequences. (Running on oeis4.)