OFFSET
6,2
LINKS
Colin Barker, Table of n, a(n) for n = 6..1000
D. Gordon, G. Kuperberg and O. Patashnik, New constructions for covering designs, arXiv:math/9502238 [math.CO], 1995.
FORMULA
Empirical g.f.: x^6*(x^35 -x^31 -x^30 +2*x^26 +x^23 +x^20 -x^18 +x^17 +x^16 +x^13 -x^12 +2*x^11 +x^7 -x^5 +x^4 +2*x +1) / ( -x^36 +x^35 +x^31 -x^30 +x^6 -x^5 -x +1).
MATHEMATICA
schoenheim[n_, k_, t_] := Module[{lb = 1, n1 = n, k1 = k, t1 = t}, n1 += 1 - t1; k1 += 1 - t1; While[t1 > 0, lb = Ceiling[(lb*n1)/k1]; t1--; n1++; k1++]; lb];
Table[schoenheim[n, 6, 2], {n, 6, 100}] (* Jean-François Alcover, Jan 26 2019, from PARI *)
PROG
(PARI) schoenheim(n, k, t) = {
my(lb = 1);
n += 1-t; k += 1-t;
while(t>0,
lb = ceil((lb*n)/k);
t--; n++; k++
);
lb
}
s=[]; for(n=6, 100, s=concat(s, schoenheim(n, 6, 2))); s
CROSSREFS
KEYWORD
nonn
AUTHOR
Colin Barker, Apr 01 2014
STATUS
approved