%I #11 Mar 11 2019 03:56:39
%S 1,6,48,4320,46448640,10835538739200000,
%T 2672817951712314077919313920000000
%N Form a triangle with n numbers in top row; all other numbers are the product of their parents. The numbers must be positive and distinct and the final number is to be minimized.
%C The next term has 69 digits. - _Charlie Neder_, Mar 09 2019
%H <a href="http://www.mathpro.com/math/archive/RusMath.txt">Problem 401 here suggested this sequence</a>
%e Solutions for n=1,2,... are 1; 2 3; 3 2 4; 4 2 3 5; 5 3 2 4 7
%e Example triangle for a(4):
%e 4 2 3 5
%e 8 6 15
%e 48 90
%e 4320
%e Some solutions for a(6) and a(7) are (7,4,3,2,5,8) and (9,7,4,2,3,5,10), and others can be created by interchanging opposite numbers (e.g., swapping 5 and 7 in the second set). - _Charlie Neder_, Mar 09 2019
%Y A less interesting cousin of A028307.
%K nonn
%O 1,2
%A _N. J. A. Sloane_
%E a(7) and example removed from title by _Charlie Neder_, Mar 09 2019