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Search: id:A101937
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A101937 Numbers n with omega(n) > omega of 2 nearest larger and 2 nearest smaller neighbors. +0
2
6, 30, 42, 60, 66, 70, 78, 84, 90, 102, 105, 110, 114, 120, 126, 150, 165, 174, 186, 190, 195, 198, 204, 210, 234, 246, 252, 255, 270, 273, 276, 290, 294, 300, 315, 318, 322, 330, 336, 345, 354, 357, 360, 385, 390, 396, 399, 402, 414, 420 (list; graph; listen)
OFFSET

1,1

EXAMPLE

150 is in the sequence because it has three unique prime factors (2,3,and 5), whereas 148, 149, 151, and 152 each have fewer.

MATHEMATICA

For[i=2, i<1000, If[And[Length[FactorInteger[i-2]]<Length[FactorInteger[i]], Length[FactorInteger[i-1]]<Length[FactorInteger[i]], Length[FactorInteger[i+1]]<Length[FactorInteger[i]], Length[FactorInteger[i+2]]<Length[FactorInteger[i]]], Print[i]]; i++ ]

CROSSREFS

Cf. A001221, A101933.

Sequence in context: A130512 A127662 A003062 this_sequence A101939 A114649 A090126

Adjacent sequences: A101934 A101935 A101936 this_sequence A101938 A101939 A101940

KEYWORD

easy,nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Dec 21 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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