A376820 - OEIS

%I #8 Nov 12 2024 09:04:26

%S 12,12,12,340,340,733332,8547188,1162009926,11074811524,11074811524,

%T 2164181867010

%N The smallest abundant number that begins a run of at least n consecutive abundant numbers with the same number of divisors.

%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A376818%2B19%2B20.py">Python program</a>.

%e a(6) = 733332 because 733332 is the smallest abundant number that begins a run of 6 consecutive abundant numbers (733332, 733338, 733340, 733344, 733348, 733350) with the same number of divisors, i.e. 24.

%e a(7) = 8547188 because 8547188 is the smallest abundant number that begins a run of 7 consecutive abundant numbers (8547188, 8547192, 8547196, 8547198, 8547200, 8547204, 8547210) with the same number of divisors, i.e. 48.

%Y Cf. A000005, A005101.

%K nonn,more,hard

%O 1,1

%A _Shyam Sunder Gupta_, Oct 05 2024

%E a(11) from _Lucas A. Brown_, Nov 12 2024