

A244277


Rounded percent chance that n heads appear in 2n tosses of a fair coin.


0



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

1,1


COMMENTS

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.


LINKS

Table of n, a(n) for n=1..84.


FORMULA

a(n) = round(100*C(2n,n)/4^n).


MATHEMATICA

Table[Round[100*Binomial[2 n, n]/4^n], {n, 100}] (* Wesley Ivan Hurt, Jun 24 2014 *)


PROG

(PARI) for(n=1, 100, print1(round((100*(2*n)!)/((n!)^2*4^n)), ", "))


CROSSREFS

Sequence in context: A342903 A207149 A207142 * A248688 A291495 A207141
Adjacent sequences: A244274 A244275 A244276 * A244278 A244279 A244280


KEYWORD

nonn


AUTHOR

Derek Orr, Jun 24 2014


STATUS

approved



