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%I #16 Apr 30 2023 15:15:44
%S 0,1,2,3,4,4,5,6,6,7,8,8,9,9,10,11,11,12,12,13,14,14,15,15,16,17,17,
%T 18,18,19,19,20,21,21,22,22,23,23,24,25,25,26,26,27,27,28,29,29,30,30,
%U 31,31,32,32,33,34,34,35,35,36,36,37,37,38,39,39,40,40,41,41,42,42,43,44
%N a(n) = min{m: Sum_{x=0..m} binomial(n,x) >= 0.95*2^n}.
%C If you toss an idealized coin n times, then the probability of obtaining more than a(n) "heads" is <= 5 percent.
%t a[0] = 0; a[n_] := a[n] = For[m = a[n - 1], True, m++, If[Sum[Binomial[n, x], {x, 0, m}] >= 95/100*2^n, Return[m]]]; Table[a[n], {n, 0, 73}] (* _Jean-François Alcover_, Oct 11 2012 *)
%Y Cf. A051889 (similar for a 6-sided die).
%K easy,nice,nonn
%O 0,3
%A Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 14 1999
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