%I A075771
%S A075771 1,2,5,4,5,12,17,10,15,16,31,36,9,28,41,48,57,24,31,50,9,16,37,48,49,
%T A075771 76,15,42,85,116,79,114,137,52,41,96,121,148,27,52,79,144,139,16,65,
%U A075771 136,109,84,141,220,49,86,169,166,209,254,33,124,169,240,55,48,297,66
%N A075771 Let n^2 = q*prime(n) + r with 0 <= r < prime(n); then a(n) = q + r.
%C A075771 The digital sum (base the n-th prime) of n^2. a(n)=ds_prime(n)(n^2), 
               where ds_prime(n)=digital sum base the n-th prime. a(n)=n^2-(prime(n)-1)*floor(n^2/
               prime(n)). For example, A075771 a(2)=ds_prime(2)(2^2)=ds_3(4)=1+1=2; 
               a(6)=ds_prime(6)(6^2)=ds_13(36)=2+10=12.
%e A075771 6^2/p(6) = 36/13 = 2+10/13; a(6) = 2+10 = 12
%Y A075771 Cf. A135101, A135102, A135103.
%Y A075771 Sequence in context: A086267 A053424 A163809 this_sequence A132698 A114557 
               A085347
%Y A075771 Adjacent sequences: A075768 A075769 A075770 this_sequence A075772 A075773 
               A075774
%K A075771 nonn
%O A075771 1,2
%A A075771 Werner Sand (werner.sand(AT)tiscalimail.de), Oct 09 2002