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Number of lunar divisors of the decimal (lunar) number 111...1 (with n 1's).
4

%I #27 Nov 05 2025 15:22:20

%S 9,90,819,7461,67968,619902,5660208,51746211,473692869,4342348692,

%T 39865757616,366573510504,3376339346538,31152497957100,

%U 287964157783869,2666972253081303,24749535734382636,230152606404800004,2144836146346691706,20032155489077131482,187516277719282274940,1759326436323972795042

%N Number of lunar divisors of the decimal (lunar) number 111...1 (with n 1's).

%C It appears that this gives the largest number of lunar divisors of any n-digit lunar number.

%H N. J. A. Sloane, <a href="/A186510/b186510.txt">Table of n, a(n) for n = 1..50</a>

%H D. Applegate, M. LeBrun and N. J. A. Sloane, <a href="https://arxiv.org/abs/1107.1130">Dismal Arithmetic</a> [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing]

%H <a href="/index/Di#dismal">Index entries for sequences related to dismal (or lunar) arithmetic</a>

%Y Cf. A087029, A186443.

%K base,nonn

%O 1,1

%A _N. J. A. Sloane_, Feb 22 2011

%E More terms from _N. J. A. Sloane_, Feb 26 2011