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A098288
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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.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| G. Paquin, D'enombrement de multigraphes enrichis, M'emoire, Math. Dept., Univ. Qu'ebec `a Montr'eal, 2004.
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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, ...
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CROSSREFS
| Sequence in context: A129083 A045685 A045676 * A032297 A032209 A032134
Adjacent sequences: A098285 A098286 A098287 * A098289 A098290 A098291
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KEYWORD
| nonn,tabf
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Oct 26 2004
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