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

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn

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).

Crossrefs

Cf. A035348.

Programs

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 *)

Formula

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