A349869 - OEIS

%I #9 Dec 06 2021 03:11:48

%S 36,48,100,112,144,162,192,196,208,324,400,448,576,784,832,900,1296,

%T 1458,1600,1764,1936,1984,2304,2368,2500,2704,2752,2916,3072,3136,

%U 3600,3904,4288,4356,4624,4672,4900,5184,5776,6084,6208,6400,6976,7056,7168,7744,8100

%N Nobly deficient numbers (A349759) that are not deficient numbers (A005100).

%H Amiram Eldar, <a href="/A349869/b349869.txt">Table of n, a(n) for n = 1..10000</a>

%e 36 is a term since it is not deficient, A000203(36) = 91 > 2*36 = 72, and both A000005(36) = 9 and A000203(36) = 91 are deficient.

%t defQ[n_] := DivisorSigma[1, n] < 2*n; nobDefQ[n_] := And @@ defQ /@ DivisorSigma[{0, 1}, n]; Select[Range[10^4], !defQ[#] && nobDefQ[#] &]

%Y Intersection of A023196 and A349759.

%Y Cf. A000005, A000203, A005100, A349868.

%K nonn

%O 1,1

%A _Amiram Eldar_, Dec 03 2021