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

0,2

References

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

Links

Table of n, a(n) for n=0..25.

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

Example

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, ...

Crossrefs

Sequence in context: A215552 A357344 A272070 * A093741 A139742 A120049

Adjacent sequences: A098359 A098360 A098361 * A098363 A098364 A098365

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 26 2004

Status

approved