[SeqFan] error in sequence?

Jud McCranie jud.mccranie at mindspring.com
Sun May 2 01:35:31 CEST 1999


I'm wondering if there is an error in A6550.

%S A006550 1,10,57,234,770,2136,5180,11292,22599,42190,74371,124950,201552,
%T A006550 313964,474510,698456,1004445,1414962,1956829,2661730,3566766
%N A006550 n-coloring a cube.
%D A006550 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 254.

This corresponds to (n^6 - 3n^4 + 48n^3 - 58n^2 + 36n)/24.

I don't have the reference available, but I interpret it as the number of
distinct ways to color a cube with n colors.  Rotations that give the same
coloring are counted as equivalent.

I get 1, 10, 57, 240, 800, 2226, 5390, 11712, ...
 (n^6 + 3n^4 + 12n^3 + 8n^2)/24

Can someone tell me if there is an error in the source, am I interpreting
the problem incorrectly, or what?  Thanks!



+--------------------------------------------------------+
| Jud McCranie               jud.mccranie at mindspring.com |
|                                                        |
| 127*2^96744+1 is prime!  (29,125 digits, Oct 20, 1998) |
+--------------------------------------------------------+






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