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

0,2

References

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

Links

Table of n, a(n) for n=0..32.

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

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, ...

Crossrefs

Sequence in context: A172041 A187605 A266569 * A134166 A154522 A253805

Adjacent sequences: A098343 A098344 A098345 * A098347 A098348 A098349

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 26 2004

Status

approved