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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. +0
1
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 (list; graph; listen)
OFFSET

0,3

REFERENCES

G. Paquin, D'enombrement de multigraphes enrichis, M'emoire, Math. Dept., Univ. Qu'ebec `a Montr'eal, 2004.

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 this_sequence A032297 A032209 A032134

Adjacent sequences: A098285 A098286 A098287 this_sequence A098289 A098290 A098291

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Oct 26 2004

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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