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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.

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`%I #10 Mar 12 2015 22:59:07
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`%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,
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`%T 28,27,30,32,31,31,35,33,34,36,41,38,38,39,44,41,42,44,44,45,48,48,48,
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`%U 49,50,53,52,54,56,56,56,57,59,59,62,64,63,63,68,65,66,68,71,71,76,71
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`%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.
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`%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.
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`%Y Cf. A085895, A085896, A085897.
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`%K nonn
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`%O 0,3
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`%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003
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`%E More terms from _Ray Chandler_, Sep 13 2003
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