A046166 - OEIS

A046166

Number of minimal covers on n objects with 5 members.

0, 0, 0, 0, 1, 171, 17066, 1298346, 83384427, 4762648737, 249485204452, 12226539786912, 568267449522773, 25296121946918823, 1086375882592194558, 45264846407024660598, 1837809636559394481439, 72965749033508656346829

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OFFSET

1,6

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..100

Eric Weisstein's World of Mathematics, Minimal Cover.

Index entries for linear recurrences with constant coefficients, signature (171,-12175,461985,-9853624,112007964,-530122320).

FORMULA

G.f.: x^5/[(1-26x)(1-27x)(1-28x)(1-29x)(1-30x)(1-31x)].

MATHEMATICA

LinearRecurrence[{171, -12175, 461985, -9853624, 112007964, -530122320}, {0, 0, 0, 0, 1, 171}, 18] (* or *) CoefficientList[Series[(x^5)/((1-26x)(1-27x)(1-28x)(1-29x)(1-30x)(1-31x)) , {x, 0, 100}], x] (* Indranil Ghosh, Feb 20 2017 *)

CROSSREFS

Cf. A035348.

Sequence in context: A262142 A206595 A127959 * A262113 A145625 A097844

Adjacent sequences: A046163 A046164 A046165 * A046167 A046168 A046169

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

STATUS

approved