A098346 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.

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

Offset: 0

Author

N. J. A. Sloane, Oct 26 2004

Keywords

• nonn
• tabf

Examples

			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, ...
		

References

• G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.

Links

• G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004. [Cached copy, with permission]