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Revision History for A221053

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Showing entries 1-10 | older changes
The hyper-Wiener index of the nanostar dendrimer NSC_5C_6[n], defined pictorially in the A. R. Ashrafi et al. reference and in the M. Rostami et al. reference.
(history; published version)
#23 by Bruno Berselli at Tue Nov 15 03:02:30 EST 2016
STATUS

proposed

approved

#22 by Michel Marcus at Mon Nov 14 13:38:06 EST 2016
STATUS

editing

proposed

#21 by Michel Marcus at Mon Nov 14 13:38:01 EST 2016
REFERENCES

M. Rostami, M. Shabanian, and H. Moghanian, Some topological indices for theoretical study of two types of nanostar dendrimers, Digest J. of Nanomaterials and Biostructures, 7, No. 1, 2012, 247-252.

LINKS

M. Rostami, M. Shabanian, and H. Moghanian, <a href="http://www.chalcogen.ro/247_Rostami.pdf">Some topological indices for theoretical study of two types of nanostar dendrimers</a>, Digest J. of Nanomaterials and Biostructures, 7, No. 1, 2012, 247-252.

STATUS

approved

editing

#20 by Alois P. Heinz at Sat Jun 04 06:04:21 EDT 2016
STATUS

editing

approved

#19 by Alois P. Heinz at Sat Jun 04 06:04:13 EDT 2016
FORMULA

G.f.: 4*x*(1536*x^6-1645696*x^5-1592416*x^4+2192808*x^3-189320*x^2 -147032*x -2145) / ((x-1)*(2*x-1)^3*(4*x-1)^3). - Colin Barker, Apr 01 2013

MAPLE

a := proc (n) options operator, arrow: 204780-1311272*2^n+1106480*4^n+360*2^n*n^2+129600*4^n*n^2 +7852*2^n*n-633600*4^n*n end proc: seq(a(n), n = 1 .. 17);

PROG

(PARI) Vec(4*x*(1536*x^6-1645696*x^5-1592416*x^4+2192808*x^3-189320*x^2 -147032*x-2145)/((x-1)*(2*x-1)^3*(4*x-1)^3) + O(x^20)) \\ Colin Barker, Jun 04 2016

STATUS

proposed

editing

#18 by Michel Marcus at Sat Jun 04 05:51:38 EDT 2016
STATUS

editing

proposed

#17 by Michel Marcus at Sat Jun 04 05:51:31 EDT 2016
REFERENCES

A. R. Ashrafi and P. Nikzad, Szeged index of nanostar dendrimers, Digest J. of Nanomaterials and Biostructures, 4, No. 1, 2009, 155-157.

LINKS

A. R. Ashrafi and P. Nikzad, <a href="http://www.chalcogen.ro/1Ashrafi-Nikzad.pdf">Szeged index of nanostar dendrimers</a>, Digest J. of Nanomaterials and Biostructures, 4, No. 1, 2009, 155-157.

#16 by Michel Marcus at Sat Jun 04 05:50:58 EDT 2016
REFERENCES

M. Rostami, M. Shabanian, and H. Moghanian, Some topological indices for theoretical study of two types of nanostar dendrimers, Digest J. of Nanomaterials and Biostructures, 7, No. 1, 2012, 247-252.

STATUS

proposed

editing

#15 by Colin Barker at Sat Jun 04 05:38:05 EDT 2016
STATUS

editing

proposed

#14 by Colin Barker at Sat Jun 04 05:37:15 EDT 2016
LINKS

Colin Barker, <a href="/A221053/b221053.txt">Table of n, a(n) for n = 1..1000</a>

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (19,-150,636,-1560,2208,-1664,512).

FORMULA

Empirical gG.f.: 4*x*(1536*x^6-1645696*x^5-1592416*x^4+2192808*x^3-189320*x^2-147032*x-2145) / ((x-1)*(2*x-1)^3*(4*x-1)^3). - Colin Barker, Apr 01 2013

PROG

(PARI) Vec(4*x*(1536*x^6-1645696*x^5-1592416*x^4+2192808*x^3-189320*x^2-147032*x-2145)/((x-1)*(2*x-1)^3*(4*x-1)^3) + O(x^20)) \\ Colin Barker, Jun 04 2016

KEYWORD

nonn,easy

STATUS

approved

editing

Discussion
Sat Jun 04
05:38
Colin Barker: My g.f. is true.