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.

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

KEYWORD

nonn

AUTHOR

Derek Orr, Jun 24 2014

STATUS

approved