A073363 - OEIS

%I #4 Mar 30 2012 18:36:32

%S 1,7,28,84,175,421,847,1288,1939,3780,5656,9247,15148,22099,25375,

%T 39676,54607,75208,90559,129360,166321,209832,240268,320719,399595,

%U 536956,672672,816733,906444,1115275,1321741,1595832,1908088,2323944

%N Nested floor product of n and fractions (k+1)/k for all k>0 (mod 6), divided by 6.

%C When is a(n) not divisible by 7?

%F a(n)=(1/6)[...[[[[[[n(2/1)](3/2)](4/3)](5/4)](6/5)](8/7]...(k+1)/k]..., k>0 (mod 6), where [x] = floor of x; this infinite nested floor product will eventually level-off at a(n).

%e a(1)=1 since (1/6)[[[[1(2/1)](3/2)](4/3)](5/4)](6/5)]=1

%Y Cf. A073359, A073360, A073361, A073362.

%K easy,nonn

%O 1,2

%A _Paul D. Hanna_, Jul 29 2002