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A098315
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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.
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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
(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^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}, ...
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CROSSREFS
| Sequence in context: A168131 A024462 A049252 * A174986 A036563 A025264
Adjacent sequences: A098312 A098313 A098314 * A098316 A098317 A098318
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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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