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A145194 Least k for which Omega(6k-1) + Omega(6k+1) >= n. +0
2
1, 1, 4, 20, 41, 104, 479, 1146, 7603, 16521, 91146, 188021, 188021, 1861979 (list; graph; listen)
OFFSET

1,3

EXAMPLE

When k=1,2 and 3, Omega(6k-1) + Omega(6k+1) = 2. When k=4, Omega(6k-1) + Omega(6k+1) = 3, so a(3)=4.

MATHEMATICA

Maxie=0; For[x=6, x<10000001, x+=6, S=0; T=0; For[k=1, k< Length[FactorInteger[x-1]]+1, k++, S+= FactorInteger[x-1][[k]][[2]]]; For[m=1, m< Length[FactorInteger[x+1]]+1, m++, T+= FactorInteger[x+1][[m]][[2]]]; If[S+T>Maxie, Print[x/6, " ", S+T]; Maxie=S+T]]

CROSSREFS

Cf. A145193

Sequence in context: A044446 A072977 A163365 this_sequence A164924 A033579 A160799

Adjacent sequences: A145191 A145192 A145193 this_sequence A145195 A145196 A145197

KEYWORD

nonn

AUTHOR

Arran Fernandez (arran(AT)borve.org), Oct 03 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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