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A050930
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Number of directed loopless multigraphs on 4 nodes with n arcs.
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3
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1, 1, 6, 20, 69, 196, 554, 1368, 3240, 7110, 14896, 29624, 56755, 104468, 186484, 322800, 544590, 896259, 1443834, 2278640, 3531647, 5380064, 8069672, 11926928, 17392983, 25042836, 35637168, 50152068, 69853604, 96344440, 131669538
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: (2*x^18 + 9*x^17 + 20*x^16 + 46*x^15 + 98*x^14 + 133*x^13 + 196*x^12 + 226*x^11 + 254*x^10 + 240*x^9 + 207*x^8 + 128*x^7 + 92*x^6 + 43*x^5 + 24*x^4 + 8*x^3 + 2*x^2-x + 1)/((x^4-1)^3*(x^3-1)^4*(x^2-1)^3*(x-1)^2).
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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