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A098346
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Consider the family of multigraphs enriched by the species of partitions. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges of 5 different colors.
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2
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1, 5, 30, 25, 25, 205, 575, 950, 375, 125, 1555, 11300, 34175, 31625, 16375, 3750, 625, 12880, 219125, 1231625, 2137500, 1771875, 771875, 209375, 31250, 3125, 115155, 4339525, 44620150, 134380625, 176620625, 121462500, 50056250
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| G. Paquin, D'enombrement de multigraphes enrichis, M'emoire, Math. Dept., Univ. Qu'ebec `a Montr'eal, 2004.
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EXAMPLE
| 1, 5x^2, 30x^2+25x^3+ 25x^4, 205x^2 +575x^3 +950x^4 +375x^5 +125x^6, 1555x^2+11300x^3 +34175x^4+31625x^5+16375x^6+3750x^7+625x^8, ...
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CROSSREFS
| Sequence in context: A056869 A172041 A187605 * A134166 A154522 A097252
Adjacent sequences: A098343 A098344 A098345 * A098347 A098348 A098349
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KEYWORD
| nonn,tabf
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Oct 26 2004
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