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A294927 Number of proper divisors of n that are nondeficient (A023196).

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%I A294927 #11 Mar 14 2024 03:47:22
%S A294927 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,
%T A294927 0,3,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,4,0,0,0,0,0,1,0,0,
%U A294927 0,0,0,5,0,0,0,0,0,1,0,2,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0
%N A294927 Number of proper divisors of n that are nondeficient (A023196).
%H A294927 Antti Karttunen, <a href="/A294927/b294927.txt">Table of n, a(n) for n = 1..20000</a>
%F A294927 a(n) = Sum_{d|n, d<n} A294936(d).
%F A294927 a(n) + A294926(n) = A032741(n).
%t A294927 a[n_] := DivisorSum[n, 1 &, # < n && DivisorSigma[1, #] >= 2*# &]; Array[a, 100] (* _Amiram Eldar_, Mar 14 2024 *)
%o A294927 (PARI) A294927(n) = sumdiv(n, d, (d<n)*(sigma(d)>=(2*d)));
%Y A294927 Cf. A023196, A032741, A071395, A294887, A294926, A294928, A294929, A294936.
%K A294927 nonn
%O A294927 1,24
%A A294927 _Antti Karttunen_, Nov 14 2017