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Search: id:A076764
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| A076764 |
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1-apexes of Omega: n such that Omega(n-1) < Omega(n) < Omega(n+1), where Omega(m) = the number of prime factors of m, counting multiplicity. |
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+0
1
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| 62, 63, 74, 188, 194, 195, 207, 242, 255, 275, 278, 279, 314, 363, 374, 398, 399, 404, 422, 423, 455, 458, 483, 494, 495, 524, 539, 614, 615, 662, 663, 674, 692, 728, 734, 735, 747, 758, 759, 764, 782, 783, 854, 867, 890, 927, 935, 975, 998, 999
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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I call n a "k-apex" (or "apex of height k") of the arithmetical function f if n satisfies f(n-k) < ... < f(n-1) < f(n) > f(n+1) > .... > f(n+k).
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EXAMPLE
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Omega(61) = 1 < Omega(62) = 2 < Omega(63) = 3, so 62 is a 1-apex of Omega.
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MATHEMATICA
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Select[Range[3, 10^3], Omega[ # - 1] < Omega[ # ] < Omega[ # + 1] &]
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CROSSREFS
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Cf. A001222.
Sequence in context: A106657 A033382 A003635 this_sequence A031058 A084801 A106133
Adjacent sequences: A076761 A076762 A076763 this_sequence A076765 A076766 A076767
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KEYWORD
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nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Nov 13 2002
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