A158348
Number of n-colorings of the Hypercube Graph Q4.
Original entry on oeis.org
0, 0, 2, 2970, 1321860, 187430900, 10199069190, 269591166222, 4221404762120, 44876701584360, 355148098691850, 2230178955481730, 11630998385335692, 52097117078470620, 205557074788375310, 728566149746575350, 2355657801908655120, 7034253747275048912, 19594719516430397970
Offset: 0
- Alois P. Heinz, Table of n, a(n) for n = 0..1000
- Timme, Marc; van Bussel, Frank; Fliegner, Denny; Stolzenberg, Sebastian (2009) "Counting complex disordered states by efficient pattern matching: chromatic polynomials and Potts partition functions", New J. Phys. 11 023001, doi: 10.1088/1367-2630/11/2/023001.
- Eric Weisstein's World of Mathematics, Hypercube Graph
- Eric Weisstein's World of Mathematics, Chromatic Polynomial
- Index entries for linear recurrences with constant coefficients, signature (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).
A380589
Number of n-colorings of the Hypercube Graph Q5.
Original entry on oeis.org
0, 0, 2, 1185282, 130253748108, 2157531034816940, 7905235551766437150, 7365707045872206479742, 2337101560809838105414712, 327425229254999498091796728, 24489214732779742874109277530, 1119349138930999380736025706650, 34471067091433681765512048700932
Offset: 0
- Alois P. Heinz, Table of n, a(n) for n = 0..10000
- Eric Weisstein's World of Mathematics, Hypercube Graph
- Eric Weisstein's World of Mathematics, Chromatic Polynomial
- Index entries for linear recurrences with constant coefficients, signature (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1).
-
a:= n-> (((((((((((((((((((((((((((((((n-80)*n+3160)*n-82080)*n+1575420)*n
-23805776)*n+294640000)*n-3068289720)*n+27406254870)*n-212981036784)*n
+1455643449120)*n-8822129447280)*n+47712047044920)*n-231347639674200)*n
+1009138022379076)*n-3968583456247214)*n+14086095737441185)*n-45124968898112160)*n
+130327084318442384)*n-338572422663483544)*n+788328935798745052)*n
-1636781898149840504)*n+3009654466362869780)*n-4856773984500880124)*n
+6797172300402030636)*n-8122089299204814072)*n+8114599308192145448)*n
-6584797184952049568)*n+4160914137061367054)*n-1915734714629493936)*n
+569711421560808713)*n-81768640551939777)*n:
seq(a(n), n=0..12);
Showing 1-2 of 2 results.
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