%I A059592
%S A059592 1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,
%T A059592 1,1,1,17,1,1,29,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,5,
%U A059592 1,13,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,13,1,1,1
%N A059592 Square-full part of n^2+1.
%C A059592 a(n)=A000188[n^2+1], A059591[n]*a(n)^2 = n^2+1 Related to period-1 continued 
               fractions [z,z,z,...]
%C A059592 A124808 gives number of numbers m<=n with a(m)=1. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Nov 08
%H A059592 R. Zumkeller, <a href="b059592.txt">Table of n, a(n) for n = 0..1000</
               a>
%e A059592 a(7)=5 since 7^2+1 = 50 = 25*2 = (5^2)*2
%Y A059592 A000188, A059591, A007913.
%Y A059592 Cf. A002522.
%Y A059592 Sequence in context: A162298 A146306 A119788 this_sequence A098087 A165485 
               A046623
%Y A059592 Adjacent sequences: A059589 A059590 A059591 this_sequence A059593 A059594 
               A059595
%K A059592 easy,nonn
%O A059592 0,8
%A A059592 Marc LeBrun (mlb(AT)well.com), Jan 25 2001