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%I #16 Apr 07 2024 09:09:53
%S 70,836,4030,5830,7192,7912,10792,17272,45356,83312,91388,113072,
%T 243892,254012,388076,786208,1713592,4145216,4199030,4632896,9928792,
%U 11547352,13086016,15126992,17999992,29465852,29581424,34869056,74899952,89283592,95327216,120888092
%N Weird admirable numbers: numbers that are both weird (A006037) and admirable (A111592).
%C Admirable numbers that are not pseudoperfect (A005835).
%C Differs from A258250 at n >= 13.
%H Amiram Eldar, <a href="/A329190/b329190.txt">Table of n, a(n) for n = 1..66</a> (terms below 10^11)
%t admQ[n_] := (ab = DivisorSigma[1, n] - 2 n) > 0 && EvenQ[ab] && ab/2 < n && Divisible[n, ab/2]; weirdQ[n_] := Module[{d = Most[Divisors[n]]}, If[Total[d] <= n, False, SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, n}], n] == 0]]; Select[Range[10000], admQ[#] && weirdQ[#] &]
%Y Intersection of A006037 and A111592.
%Y Cf. A005835, A258250.
%K nonn,changed
%O 1,1
%A _Amiram Eldar_, Nov 07 2019
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