The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A221009 The hyper-Wiener index of the nanostar dendrimer D_3[n] , defined pictorially in the Alikhani - Iranmanesh reference. 1
 3393, 129171, 1802955, 16741275, 125055483, 817601211, 4890505275, 27466038075, 147217502523, 761318440251, 3827379655995, 18807535273275, 90701268968763, 430607210751291, 2017310632781115, 9343468205122875 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..15. S. Alikhani and M. A. Iranmanesh, Eccentric connectivity polynomials of an infinite family of dendrimer, Digest J. Nanomaterials and Biostructures, 6 (2011) 253-257. Index entries for linear recurrences with constant coefficients, signature (15,-86,232,-288,128). FORMULA a(n) = 9531-2^n*168276+4^n*(44100*n^2-92190*n+162138). G.f.: 3*(1131+26092*x+52396*x^2+6160*x^3)/((1-x)*(1-2*x)*(1-4*x)^3). - Bruno Berselli, Dec 30 2012 MAPLE a := proc (n) options operator, arrow: 9531-168276*2^n+4^n*(44100*n^2-92190*n+162138) end proc: seq(a(n), n = 0 .. 15); CROSSREFS Cf. A221008 Sequence in context: A172788 A185573 A185926 * A226667 A206507 A133532 Adjacent sequences: A221006 A221007 A221008 * A221010 A221011 A221012 KEYWORD nonn AUTHOR Emeric Deutsch, Dec 29 2012 EXTENSIONS Formula corrected by Bruno Berselli, Dec 30 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 15 23:38 EDT 2024. Contains 374343 sequences. (Running on oeis4.)