A098288 Consider the family of multigraphs enriched by the species of linear order. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges, arcs and loops.

1, 1, 2, 2, 14, 13, 4, 6, 102, 268, 219, 66, 8, 24, 828, 4668, 7909, 5309, 1659, 248, 16, 120, 7500, 80100, 248870, 303932, 175783, 53465, 8950, 800, 32, 720, 75240, 1411680, 7476690, 15207810, 14504410, 7361796, 2150541, 376375, 39540

Offset

0,3

References

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

Links

Table of n, a(n) for n=0..40.

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

Example

1, x+2x^2, 2x+14x^2+13x^3+4x^4, 6x+102x^2+268x^3+219x^4+66x^5+8x^6, 24x+828x^2+4668x^3+7909x^4+5309x^5+1659x^6+248x^7+16x^8, ...

Crossrefs

Sequence in context: A129083 A045685 A045676 * A032297 A032209 A032134

Adjacent sequences: A098285 A098286 A098287 * A098289 A098290 A098291

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 26 2004

Status

approved