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A140986 Number of n-colorings of the cubical graph. 14
0, 0, 2, 114, 2652, 29660, 198030, 932862, 3440024, 10599192, 28478970, 68716010, 152040372, 313269684, 608134982, 1122341430, 1983307440, 3375066032, 5556852594, 8885943522, 13845350540, 21077015820, 31421193342, 45962742254, 66085098312, 93532729800 (list; graph; refs; listen; history; text; internal format)
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

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

Cf. A296914, A334159.

Sequence in context: A034312 A224871 A230471 * A157068 A008271 A209184

Adjacent sequences:  A140983 A140984 A140985 * A140987 A140988 A140989

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Jul 28 2008

EXTENSIONS

More terms from Alois P. Heinz, Mar 01 2009

STATUS

approved

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Last modified May 29 08:14 EDT 2022. Contains 354124 sequences. (Running on oeis4.)