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A046167
Number of minimal covers on n objects with 6 members.
1
0, 0, 0, 0, 0, 1, 420, 100814, 18151560, 2723868147, 359750257020, 43199991728608, 4817721638970240, 506352103838393813, 50691406225311551700, 4872449650707855334482, 452435489306282260691640
OFFSET
1,7
LINKS
Eric Weisstein's World of Mathematics, Minimal Cover.
Index entries for linear recurrences with constant coefficients, signature (420,-75586,7555800,-453096049,16299368820,-325685329164,2788484181840).
FORMULA
G.f.: x^6/[(1-57x)(1-58x)(1-59x)(1-60x)(1-61x)(1-62x)(1-63x)].
MATHEMATICA
CoefficientList[Series[(x^6)/((1-57x)(1-58x)(1-59x)(1-60x)(1-61x)(1-62x)(1-63x)), {x, 0, 100}], x] (* Indranil Ghosh, Feb 20 2017 *)
CoefficientList[Series[x^6/Times@@(1-x*Range[57, 63]), {x, 0, 30}], x] (* or *) LinearRecurrence[{420, -75586, 7555800, -453096049, 16299368820, -325685329164, 2788484181840}, {0, 0, 0, 0, 0, 0, 1}, 30] (* Harvey P. Dale, Aug 06 2018 *)
CROSSREFS
Cf. A035348.
Sequence in context: A035846 A223941 A360537 * A059951 A225992 A028683
KEYWORD
nonn,easy
STATUS
approved