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A098346 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 of 5 different colors. 2
1, 5, 30, 25, 25, 205, 575, 950, 375, 125, 1555, 11300, 34175, 31625, 16375, 3750, 625, 12880, 219125, 1231625, 2137500, 1771875, 771875, 209375, 31250, 3125, 115155, 4339525, 44620150, 134380625, 176620625, 121462500, 50056250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

LINKS

Table of n, a(n) for n=0..32.

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

EXAMPLE

1, 5x^2, 30x^2+25x^3+ 25x^4, 205x^2 +575x^3 +950x^4 +375x^5 +125x^6, 1555x^2+11300x^3 +34175x^4+31625x^5+16375x^6+3750x^7+625x^8, ...

CROSSREFS

Sequence in context: A172041 A187605 A266569 * A134166 A154522 A253805

Adjacent sequences:  A098343 A098344 A098345 * A098347 A098348 A098349

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Oct 26 2004

STATUS

approved

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Last modified September 16 12:38 EDT 2019. Contains 327107 sequences. (Running on oeis4.)