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Group the natural numbers so that the product of the terms of the n-th group is divisible by n!: (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the number of terms in each group.
4

%I #12 Aug 23 2014 13:15:57

%S 1,1,2,4,4,6,6,8,8,10,10,12,12,14,14,16,16,18,18,20,20,22,22,24,24,26,

%T 26,28,28,30,30,32,32,34,34,36,36,38,38,40,40,42,42,44,44,46,46,48,48,

%U 50,50,52,52,54,54,56,56,58,58,58,58,62,63,63,62,66,64,68,68,68,70,66

%N Group the natural numbers so that the product of the terms of the n-th group is divisible by n!: (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the number of terms in each group.

%C a(n) <= n.

%C This sequence may be related to the smoothing sequence suggested in A138023. - _Enoch Haga_, Feb 28 2008

%H Alois P. Heinz, <a href="/A085914/b085914.txt">Table of n, a(n) for n = 1..1000</a>

%Y Cf. A085912, A085913, A085915.

%Y Cf. A138023.

%K nonn

%O 1,3

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003

%E More terms from _Ray Chandler_, Sep 15 2003