OFFSET
0,4
COMMENTS
If you toss an idealized (six-sided) die n times, then the probability of obtaining more than a(n) 6's is <= 5 percent.
MATHEMATICA
s[m_, n_] := Sum[Binomial[n, i]*(1/6)^i*(1 - 1/6)^(n - i), {i, 0, m}]; a[0] = 0; a[n_] := a[n] = For[m = a[n - 1], True, m++, If[s[m, n] >= 95/100, Return[m]]]; Table[a[n], {n, 0, 80}] (* Jean-François Alcover, Oct 11 2012 *)
CROSSREFS
KEYWORD
easy,nice,nonn
AUTHOR
Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 15 1999
STATUS
approved