[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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