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Search: id:A166721
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| A166721 |
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For definition see Comments lines. |
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+0
1
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| 1, 4, 16, 36, 64, 144, 576, 900, 1024, 1296, 3600, 4096, 5184, 9216, 14400, 32400, 36864, 44100, 46656, 65536, 82944, 129600, 176400, 230400, 262144, 331776, 589824, 705600, 746496, 810000, 921600, 1166400, 1587600, 2073600, 2359296
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Consider natural numbers N : 1, 2, 3, 4, 5, 6, 7, .... For these numbers, we introduce the definitions: Peace T - the set of all numbers N, in which the whole of T divisors (including 1 and the sheer number N); number of the world - the number (T) for any integer divisors of the number N of this world; odd world - a world with an odd number of T = 1, 3, 5, 7, ...; even the world - a world with even number of T = 2, 4, 6, 8, ...; leader of the world T - the number of N, whose first time (in the natural numbers), you are the type T;
top leaders of the odd worlds - the leaders (of N) of odd worlds, in which the number of T is monotonically increasing (in the natural numbers), starting with T = 1; even the worlds top leaders - the leaders (of N) of even the worlds in which the number of T is monotonically increasing (in the natural numbers), starting from T = 2. Given these definitions it is easy to find an infinite sequence leaders (N) odd worlds (with the odd T).
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FORMULA
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It appears that this sequence can not be described by the formula. (The rest of this line was illegible. - N. J. A. Slaone)
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CROSSREFS
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Also: A000005, A048691, A152674, A136404
Sequence in context: A016742 A121317 A063755 this_sequence A085040 A030179 A005722
Adjacent sequences: A166718 A166719 A166720 this_sequence A166722 A166723 A166724
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KEYWORD
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easy,nonn,uned
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AUTHOR
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Alexander Isaev (i2357(AT)mail.ru), Oct 20 2009
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