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A282711 a(n) is the number of terms of A003052 that are <= n.

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%I A282711 #10 Nov 21 2024 05:16:23
%S A282711 1,1,2,2,3,3,4,4,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,
%T A282711 7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,10,10,10,
%U A282711 10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12
%N A282711 a(n) is the number of terms of A003052 that are <= n.
%H A282711 U. Zannier, <a href="http://www.ams.org/journals/proc/1982-085-01/S0002-9939-1982-0647887-4/">On the distribution of self-numbers</a>, Proc. Amer. Math. Soc. 85 (1982), 10-14.
%F A282711 Zannier shows that a(n) = L*n + O((log x)^2), where L is approximately 10.227...
%p A282711 # Assumes the array b52 contains a list of the terms in A003052.
%p A282711 p:=[]; t:=1; m:=b52[t]; c:=1;
%p A282711 for n from 1 to 1000 do
%p A282711 if n=m then c:=c+1; t:=t+1; m:=b52[t]; fi;
%p A282711 p:=[op(p),c];
%p A282711 od:
%p A282711 p;
%Y A282711 Cf. A003052.
%K A282711 nonn
%O A282711 1,3
%A A282711 _N. J. A. Sloane_, Feb 27 2017