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Search: id:A036484
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| A036484 |
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Minimal number with binary order n which has maximal number of divisors in this interval. |
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+0
2
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| 1, 2, 4, 6, 12, 24, 60, 120, 240, 360, 840, 1680, 2520, 7560, 15120, 27720, 55440, 110880, 221760, 498960, 720720, 1441440
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Compare with A007416, where terms of this sequence are present.
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EXAMPLE
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For n=9, with 256<x<=512, d[ x ] takes 17 distinct values, of which d[ x ]=24 is the greatest (see A036451 and A036470) and occurs first at x=360, so a(9)=360.
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MATHEMATICA
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ld[ x_ ] := Length[ Divisors[ x ] ]; a=1+2^(n-1), b=2^n; List=Flatten[ Position[ Table[ ld[ x ], {x, a, b} ], max{ld[ x ]} ]+a-1 ]; Min{List}=A036484
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CROSSREFS
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Cf. A000005, A029837, A005179, A007416, A036470, A036492, A036493.
Sequence in context: A094783 A058764 A087009 this_sequence A093036 A087997 A118405
Adjacent sequences: A036481 A036482 A036483 this_sequence A036485 A036486 A036487
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu)
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