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Revision History for A289022

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A289022 Wiener index of the n-Apollonian network.
(history; published version)
#18 by Ray Chandler at Sun Mar 03 23:53:03 EST 2024
STATUS

editing

approved

#17 by Ray Chandler at Sun Mar 03 23:53:00 EST 2024
LINKS

<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (23, -174, 448, -29, -1221, 2088, -4050, 2916).

STATUS

approved

editing

#16 by Susanna Cuyler at Thu Sep 07 21:28:51 EDT 2017
STATUS

proposed

approved

#15 by Eric W. Weisstein at Thu Sep 07 14:20:42 EDT 2017
STATUS

editing

proposed

#14 by Eric W. Weisstein at Thu Sep 07 14:20:38 EDT 2017
MATHEMATICA

(* Start from Eric W. Weisstein, Sep 07 2017 *)

Table[(6655 + 31 (-1)^n 2^(n + 2) + 5 3^(1 + 2 n) (24 + 11 n) + 3^(n + 1) (1197 + 55 n) + 5 2^(5 + n/2) Cos[n Pi/2] - 155 2^((3 + n)/2) Sin[n Pi/2])/3630, {n, 20}]

LinearRecurrence[{23, -174, 448, -29, -1221, 2088, -4050, 2916}, {6, 27, 204, 1941, 19572, 198567, 1999056, 19931337}, 20]

CoefficientList[Series[(6 - 111 x + 627 x^2 - 741 x^3 - 1497 x^4 + 2862 x^5 - 5670 x^6 + 8748 x^7)/((1 - x) (1 - 3 x)^2 (1 - 9 x)^2 (1 + 2 x) (1 + 2 x^2)), {x, 0, 20}], x]

(* End *)

STATUS

approved

editing

#13 by Joerg Arndt at Sun Sep 03 03:19:52 EDT 2017
STATUS

proposed

approved

#12 by Andrew Howroyd at Sat Sep 02 23:50:07 EDT 2017
STATUS

editing

proposed

#11 by Andrew Howroyd at Sat Sep 02 17:05:42 EDT 2017
LINKS

Andrew Howroyd, <a href="/A289022/b289022.txt">Table of n, a(n) for n = 1..100</a>

#10 by Andrew Howroyd at Sat Sep 02 16:53:37 EDT 2017
FORMULA

a(n) = Sum_{k=1..1+floor(2*n/3)} k*A289722(n,k).

CROSSREFS

Cf. A067771 (edges), A192792, A289521, A289722.

STATUS

approved

editing

#9 by Peter Luschny at Sat Sep 02 05:34:57 EDT 2017
STATUS

reviewed

approved

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Last modified August 18 23:05 EDT 2024. Contains 375284 sequences. (Running on oeis4.)