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A076778 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. 0
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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).

LINKS

Table of n, a(n) for n=1..30.

MATHEMATICA

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] &]

CROSSREFS

Sequence in context: A250079 A237238 A236253 * A172863 A159720 A127228

Adjacent sequences:  A076775 A076776 A076777 * A076779 A076780 A076781

KEYWORD

nonn

AUTHOR

Joseph L. Pe, Nov 14 2002

STATUS

approved

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Last modified October 15 23:54 EDT 2019. Contains 328038 sequences. (Running on oeis4.)