|
%I
%S 1,1,10,1000,1000000,10000000000,1000000000000000,
%T 1000000000000000000000,10000000000000000000000000000,
%U 1000000000000000000000000000000000000
%N 10^((n^2-n)/2).
%C Sequence given by the Hankel transform (see A001906 for definition) of A082148 = {1, 1, 11, 131, 1661, 22101, 305151, 4335711, ...}; example : det([1, 1, 11, 131; 1, 11, 131, 1661; 11, 131, 1661, 22101; 131, 1661, 22101, 305151]) = 10^6 = 1000000.
%F a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(10i, j).
%F a(n)=10a(n-1)^2/a(n-2), a(0)=a(1)=1. - Michael Somos Sep 12 2005
%o (PARI) a(n)=10^binomial(n,2) \\ _Charles R Greathouse IV_, Jan 17 2012
%Y Cf. A006125, A047656, A053763, A053764, A109345, A109354, A109493, A109966.
%K nonn,easy
%O 0,3
%A _Philippe DELEHAM_, Sep 04 2005
|
