A098362 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 arcs of 7 different colors.
1, 7, 105, 196, 49, 1673, 11564, 13181, 4116, 343, 28133, 566636, 1643999, 1407672, 453446, 57624, 2401, 496769, 26784380, 168588665, 298710468, 207080419, 65115120, 9772070, 672280, 16807
Offset: 0
Examples
1, 7x^2, 105x^2+196x^3+49x^4, 1673x^2+11564x^3+13181x^4+4116x^5+343x^6, 28133x^2+566636x^3+1643999x^4+1407672x^5+453446x^6+57624x^7+2401x^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]