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%I #11 Nov 12 2024 09:04:21
%S 12,12,12,340,5526,19458,35288,388272,1386008,1386008,147137690,
%T 1384963218,1887738636,1887738636,975153301850,975153301850
%N The smallest abundant number that begins a run of at least n consecutive abundant numbers with the same number of prime factors (counted with multiplicity).
%C Any further terms are > 2.2 * 10^12. - _Lucas A. Brown_, Nov 12 2024
%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A376818%2B19%2B20.py">Python program</a>.
%e a(4) = 340 because 340 is the smallest abundant number that begins a run of 4 consecutive abundant numbers (340, 342, 348, 350) with the same number of prime factors (counted with multiplicity), i.e. 4.
%e a(6) = 19458 because 19458 is the smallest abundant number that begins a run of 6 consecutive abundant numbers (19458, 19460, 19464, 19470, 19476, 19480) with the same number of prime factors (counted with multiplicity), i.e. 5.
%Y Cf. A001222, A005101.
%K nonn,more,hard
%O 1,1
%A _Shyam Sunder Gupta_, Oct 05 2024
%E a(15)-a(16) from _Lucas A. Brown_, Nov 12 2024