cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A067814 The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 4.

This page as a plain text file.
%I A067814 #18 Oct 19 2017 03:13:58
%S A067814 16,135,1274,4023,12122,204323,355923,3405122,49799889,202536181,
%T A067814 3195380868,5208143601,85843948321,97524222465
%N A067814 The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 4.
%C A067814 3405122 is the first number having 8 and 9 consecutive integers with 4 prime factors. - _T. D. Noe_, Mar 19 2014
%e A067814 a(4)=4023 because 4023 is the start of a record breaking run of 4 consecutive integers (4023 to 4026) each having 4 prime factors; i.e. bigomega(n)=A001222(n)=4 for n = 4023, ..., 4026.
%t A067814 bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==4, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]
%Y A067814 Cf. A067813, A067820, A067821, A067822.
%K A067814 fini,full,nonn
%O A067814 1,1
%A A067814 _Shyam Sunder Gupta_, Feb 07 2002
%E A067814 Edited by _Dean Hickerson_, Jul 31 2002
%E A067814 More terms from _Don Reble_, Aug 11 2002, who remarks that the sequence is now complete.