A244277 Rounded percent chance that n heads appear in 2n tosses of a fair coin.

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

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