A098283 Consider the family of multigraphs enriched by the species of cycles. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges.

1, 1, 1, 1, 1, 2, 4, 7, 3, 1, 6, 17, 50, 47, 25, 6, 1, 24, 85, 370, 617, 526, 235, 65, 10, 1, 120, 499, 2929, 7700, 10205, 7173, 3026, 800, 140, 15, 1, 720, 3388, 25165, 95907, 189224, 197893, 121521, 47145, 12236, 2170, 266, 21, 1, 5040, 26200

Offset

0,6

References

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

Links

Table of n, a(n) for n=0..51.

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

Example

1, x^2, x^2+x^3+x^4, 2x^2+4x^3+7x^4+3x^5+x^6, 6x^2+17x^3+50x^4+47x^5+25x^6+6x^7+x^8, ...

Crossrefs

Sequence in context: A133292 A126218 A086330 * A359005 A256998 A356432

Adjacent sequences: A098280 A098281 A098282 * A098284 A098285 A098286

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 26 2004

Status

approved