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EXAMPLE
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Illustration of first terms, ordered by number of parts, size of parts and smallest color of parts, etc.
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a(1)=1 :
{{1}}:
a(2)=6 = 3+3:
{{1,1}},{{1,2}},{{2,2}},
{{1},{1}},{{1},{2}},{{2},{2}}
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a(3)=38 = 10+18+10:
{{1,1,1}},{{1,1,2}},{{1,1,3}},{{1,2,2}},{{1,2,3}},{{1,3,3}},
{{2,2,2}},{{2,2,3}},{{2,3,3}},{{3,3,3}},
{{1},{1,1}},{{1},{1,2}},{{1},{1,3}},{{1},{2,2}},{{1},{2,3}},{{1},{3,3}},
{{2},{1,1}},{{2},{1,2}},{{2},{1,3}},{{2},{2,2}},{{2},{2,3}},{{2},{3,3}},
{{3},{1,1}},{{3},{1,2}},{{3},{1,3}},{{3},{2,2}},{{3},{2,3}},{{3},{3,3}},
{{1},{1},{1}},{{1},{1},{2}},{{1},{1},{3}},{{1},{2},{2}},{{1},{2},{3}},{{1},{3},{3}},
{{2},{2},{2}},{{2},{2},{3}},{{2},{3},{3}},{{3},{3},{3}}}}
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