A000097 - partitions

Gordon Royle gordon at csse.uwa.edu.au
Tue May 25 09:01:10 CEST 2004


What is the meaning of

"partitions of n into parts of 2 kinds"

which is the description for A000097?


I tried to interpret it as partitions where each cell could be 
"coloured" either red or green, so for example the partitions of 2 
could be

	red 2
	green 2
	red 1 + red 1
	red 1 + green 1
	green 1 + green 1

giving 5 as required, but this did not seem to work for n=3

	r1, r1, r1
	r1, r1, g1
	r1, g1, g1
	g1, g1, g1
	r2, r1
	r2, g1
	g2, r1
	g2, g1
	r3
	g3


So what *does* this mean?







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