A085898 - OEIS

A085898

Group the natural numbers such that the product of the n-th group is divisible by 2^n. (1), (2) (3,4), (5,6,7,8), (9,10,11,12,13,14,),(15,16,17,18),... Sequence contains highest power of 2 that divides the product of the terms of the n-th group. a(n) =k, where A085895(n)/(2^k) is the smallest possible integer. By definition a(n) > or = n.

%I #10 Mar 12 2015 22:59:07

%S 0,1,2,4,4,5,6,9,8,10,14,11,12,15,15,15,18,17,18,21,20,21,24,23,25,25,

%T 28,27,30,32,31,31,35,33,34,36,41,38,38,39,44,41,42,44,44,45,48,48,48,

%U 49,50,53,52,54,56,56,56,57,59,59,62,64,63,63,68,65,66,68,71,71,76,71

%N Group the natural numbers such that the product of the n-th group is divisible by 2^n. (1), (2) (3,4), (5,6,7,8), (9,10,11,12,13,14,),(15,16,17,18),... Sequence contains highest power of 2 that divides the product of the terms of the n-th group. a(n) =k, where A085895(n)/(2^k) is the smallest possible integer. By definition a(n) > or = n.

%e a(7) = 9, as the 7th group terms are (25,26,27,28,29,30,31,32) and the highest power of 2 that divides the product is 2^9.

%Y Cf. A085895, A085896, A085897.

%K nonn

%O 0,3

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

%E More terms from _Ray Chandler_, Sep 13 2003