A080474


a(n)= product of sum of taking (n1) numbers from the next n numbers. The next n numbers can be grouped like this (1), (2,3), (4,5,6), (7,8,9,10),... . Let N be the sum of all the members of the nth group. Let k be a member and f(k) = N  k. Then a(n) = the product of all f(k) for k taking all member values.


1


%I
%S 1,6,990,421200,379501200,625757605200,1707530790369600,
%T 7172573016426048000,43928207579534870592000,
%U 376055676152225153019936000,4350748615258091511751558272000
%N a(n)= product of sum of taking (n1) numbers from the next n numbers. The next n numbers can be grouped like this (1), (2,3), (4,5,6), (7,8,9,10),... . Let N be the sum of all the members of the nth group. Let k be a member and f(k) = N  k. Then a(n) = the product of all f(k) for k taking all member values.
%e a(3)= 990. The third group of next n numbers is (4,5,6) and a(3) = (4+5)*(5+6)*(4+6)= 990.
%Y Cf. A080473.
%K nonn
%O 1,2
%A _Amarnath Murthy_, Mar 11 2003
%E More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003
