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Search: id:A076778
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| A076778 |
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3-nadirs of Omega: n such that Omega(n-3) > Omega(n-2) > Omega(n-1) > Omega(n) < Omega(n+1) < Omega(n+2) < Omega(n+3), where Omega(n) = number of prime factors of n, counting multiplicity. |
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+0
1
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| 40147, 126173, 168907, 230947, 255427, 322627, 383133, 393027, 393773, 415677, 450173, 466827, 495123, 502973, 579533, 661747, 692547, 745747, 757227, 777773, 803157, 816573, 824947, 846173, 863453, 902333, 919389, 942653, 946013, 959213
(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-nadir" (or nadir of depth 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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MATHEMATICA
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Omega[n_] := Apply[Plus, Transpose[FactorInteger[n]][[2]]]; Select[Range[5, 10^6], Omega[ # - 3] > Omega[ # - 2] > Omega[ # - 1] > Omega[ # ] < Omega[ # + 1] < Omega[ # + 2] < Omega[ # + 3] &]
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CROSSREFS
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Sequence in context: A106772 A015328 A126104 this_sequence A127228 A090394 A061123
Adjacent sequences: A076775 A076776 A076777 this_sequence A076779 A076780 A076781
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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 14 2002
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