A098234 Consider the family of simple graphs. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those graphs on n edges.

1, 1, 1, 1, 1, 4, 3, 1, 15, 29, 19, 6, 1, 30, 222, 301, 175, 55, 10, 1, 30, 1230, 3850, 4038, 2116, 650, 125, 15, 1, 5040, 40110, 78060, 66725, 31745, 9436, 1855, 245, 21, 1, 15120, 345240, 1295280, 1818075, 1312315, 570557, 163058, 32151, 4466

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..47.

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

Example

1, x^2, x^3+x^4, x^3+4x^4+3x^5+x^6, 15x^4+29x^5+19x^6+6x^7+x^8, 30x^4+222x^5+301x^6+175x^7+55x^8+10x^9+x^{10}, ...

Crossrefs

Sequence in context: A370609 A010305 A308326 * A193795 A181355 A128320

Adjacent sequences: A098231 A098232 A098233 * A098235 A098236 A098237

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 26 2004

Status

approved