%I #8 Dec 05 2013 19:56:50
%S 3,8,15,323,115599,13441619843,180680260779332208399
%N Numbers of the form k^2 -1 such that every partial product is also of the form k^2-1.
%C Next term <= 32645356640144805339103579127542660095683 : The number (sqrt( product( a[j], j=1 .. n )+1)-1)^2-1 does satisfy the requirements for the next term, but is this always the smallest solution ? - _M. F. Hasler_, May 15 2007
%F a(n+1) = A084702(A093959(n)-1). - _David Wasserman_, May 03 2007
%F For n>1, a[n+1] <= floor( sqrt( product( a[j], j=1 .. n )))^2-1 - _M. F. Hasler_, May 15 2007
%e 3, 8 and 15 are 1 less than a square and so are the numbers 3, 3*8, 3*8*15.
%Y Cf. A084702, A093959.
%K hard,nonn
%O 1,1
%A _Amarnath Murthy_, May 22 2004
%E More terms from _David Wasserman_, May 03 2007