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A075027
Numbers k such that d(k-1) < d(k) > d(k+1), d = A000005.
6
4, 6, 8, 10, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 48, 50, 52, 54, 56, 60, 64, 66, 68, 70, 72, 78, 80, 84, 88, 90, 92, 96, 100, 102, 108, 110, 112, 114, 120, 124, 126, 128, 130, 132, 138, 140, 144, 150, 152, 154, 156, 160, 162, 165, 168, 170, 174, 176, 180
OFFSET
1,1
Obviously every term is composite.
The average of each twin prime pair is a term.
a(55) = 165 is the first odd term; A323379 lists all odd terms. - Jon E. Schoenfield, Sep 26 2021
Michael De Vlieger, Table of n, a(n) for n = 1..3403 (first 1001 terms from Harvey P. Dale)
EXAMPLE
10 is a term since d(9) = 3, d(10) = 4, d(11) = 2 and 3 < 4 > 2.
MAPLE
q:= k-> (d-> d(k-1)<d(k) and d(k)>d(k+1))(numtheory[tau]):
select(q, [\$1..200])[]; # Alois P. Heinz, Sep 28 2021
MATHEMATICA
#[[2, 1]]&/@Select[Partition[Table[{n, DivisorSigma[0, n]}, {n, 200}], 3, 1], #[[1, -1]]<#[[2, -1]]>#[[3, -1]]&] (* Harvey P. Dale, Oct 09 2011 *)
CROSSREFS
Sequence in context: A074827 A068354 A354591 * A309837 A310659 A076298
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Sep 02 2002
EXTENSIONS
More terms from Jason Earls, Sep 04 2002
STATUS
approved

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Last modified September 20 06:31 EDT 2024. Contains 376054 sequences. (Running on oeis4.)