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A244277
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Rounded percent chance that n heads appear in 2n tosses of a fair coin.
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0
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50, 38, 31, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6
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OFFSET
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1,1
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COMMENTS
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a(n) is also the largest percentage that k heads will appear face up in 2n tosses of a fair coin where k = 1, 2, ..., 2n.
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LINKS
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FORMULA
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a(n) = round(100*C(2n,n)/4^n).
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MATHEMATICA
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Table[Round[100*Binomial[2 n, n]/4^n], {n, 100}] (* Wesley Ivan Hurt, Jun 24 2014 *)
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PROG
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(PARI) for(n=1, 100, print1(round((100*(2*n)!)/((n!)^2*4^n)), ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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