A098315 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.

1, 1, 2, 1, 1, 5, 7, 10, 3, 1, 15, 44, 95, 65, 31, 6, 1, 52, 285, 945, 1132, 791, 295, 75, 10, 1, 203, 1957, 9922, 18845, 19145, 10968, 4046, 950, 155, 15, 1

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..36.

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

Example

1, x^2, 2x^2+x^3+ x^4, 5x^2 +7x^3 +10x^4 +3x^5 +x^6, 15x^2+44x^3 +95x^4+65x^5+31x^6+6x^7+x^8, 52x^2+285x^3+945x^4+1132x^5+791x^6+295x^7+75x^8+10x^9+x^{10}, ...

Crossrefs

Sequence in context: A168131 A024462 A049252 * A006704 A324960 A174986

Adjacent sequences: A098312 A098313 A098314 * A098316 A098317 A098318

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 26 2004

Status

approved