OFFSET
0,1
COMMENTS
a(0) and a(1) have been checked by the direct computation of the Wiener index (using Maple).
LINKS
Matthew House, Table of n, a(n) for n = 0..1640
M. K. Khalifeh, H. Yousefi-Azari, and A. R. Ashrafi, The Szeged and Wiener numbers of water soluble polyaryl ether dendrimer nanostars, Digest J. Nanomaterials and Biostructures, 4, 2009, 63-66.
Index entries for linear recurrences with constant coefficients, signature (13,-64,148,-160,64).
FORMULA
a(n) = 502 + 2^(n)*(2800*n + 8716) + 4^(n)*(8000*n - 3920).
G.f.: 2*(2649 - 14510*z + 36008*z^2 - 37248*z^3 + 15360*z^4)/((1-z)*(1-2*z)^2*(1-4*z)^2).
a(n) = 13*a(n-1) - 64*a(n-2) + 148*a(n-3) - 160*a(n-4) + 64*a(n-5). - Matthew House, Nov 01 2016
MAPLE
a := proc (n) options operator, arrow: 502+2^n*(2800*n+8716)+4^n*(8000*n-3920) end proc: seq(a(n), n = 0 .. 20);
CROSSREFS
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Jul 13 2013
STATUS
approved