Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #15 Sep 06 2022 13:25:14
%S 1,9,14,33,54,140,213,1934,35811,38405,200938,389409,1792209,5606457,
%T 8405437,68780189,880346227,85910903650,87635944146,284340107954,
%U 2195312273836,2864568747364,3155591650029
%N The start of a record-breaking run of consecutive integers with an even number of prime factors.
%C a(21) > 10^12. [From _Donovan Johnson_, Oct 11 2010]
%C a(24) > 10^13. - _Giovanni Resta_, Aug 01 2013
%C Prime factors counted with multiplicity. - _Harvey P. Dale_, Sep 06 2022
%t Table[SequencePosition[If[EvenQ[#],1,0]&/@PrimeOmega[Range[40000]],PadRight[{},n,1],1][[All,1]],{n,14}]//Flatten//Union (* The program generates the first 10 terms of the sequence. *) (* _Harvey P. Dale_, Sep 06 2022 *)
%Y Cf. A066794, A175201.
%K nonn
%O 1,2
%A _G. L. Honaker, Jr._, Jan 18 2002
%E Except for first 4 or 5 terms, computed by _Shyam Sunder Gupta_, Jan 26 2002
%E a(12) and a(14) corrected and a(18)-a(20) from _Donovan Johnson_, Oct 11 2010
%E a(21)-a(23) from _Giovanni Resta_, Aug 01 2013