OFFSET
1,2
COMMENTS
a(n) is the greatest coefficient in P(n,X). Next term is too large to include.
FORMULA
For n > 4, 2^(2^(n-1)) < a(n) < (5/2)^(2^(n-1)).
EXAMPLE
P(1,X) = 1 then P(2,X) = (1+X)^2 = X^2+2X+1, the coefficient of X^(2^(2-2)) = X is 2 = a(2). P(4,X) = x^8+12*x^7+58*x^6+146*x^5+207*x^4+166*x^3+71*x^2+14*x+1 and the coefficient of X^(2^(4-2)) = X^4 is 207 = a(4).
PROG
(PARI) u=1; for(n=2, 6, a=(u+x)^2; u=a; print1(polcoeff(u, 2^(n-2), x), ", "))
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, May 09 2002
STATUS
approved