OFFSET
0,3
LINKS
Eric M. Schmidt, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Chromatic Polynomial
Eric Weisstein's World of Mathematics, Cubical Graph
Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
FORMULA
a(n) = n^8-12*n^7+66*n^6-214*n^5+441*n^4-572*n^3+423*n^2-133*n.
G.f.: 2*x^2*(1+48*x+849*x^2+4864*x^3+8619*x^4+4848*x^5+931*x^6)/(1-x)^9. - Colin Barker, Apr 15 2012
a(n) = Sum_{k=1..8} k!*binomial(n,k)*A334159(3,k). - Andrew Howroyd, Apr 22 2020
MAPLE
a:= n-> n^8 -12*n^7 +66*n^6 -214*n^5 +441*n^4 -572*n^3 +423*n^2 -133*n:
seq(a(n), n=0..30); # Alois P. Heinz, Mar 01 2009
PROG
(Maxima)
A140986(n):=n^8-12*n^7+66*n^6-214*n^5+441*n^4-572*n^3 +423*n^2-133*n$
makelist(A140986(n), n, 0, 30); /* Martin Ettl, Nov 03 2012 */
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Jul 28 2008
EXTENSIONS
More terms from Alois P. Heinz, Mar 01 2009
STATUS
approved