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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 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 Cf. A296914, A334159. Sequence in context: A034312 A224871 A230471 * A157068 A008271 A362575 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 August 11 21:40 EDT 2024. Contains 375073 sequences. (Running on oeis4.)