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Numbers n with property that average digit of n^2 is s=4.
10

%I #8 Apr 11 2023 21:03:49

%S 2,41,58,59,68,85,95,1027,1034,1036,1072,1081,1088,1108,1124,1135,

%T 1144,1153,1169,1232,1234,1243,1252,1259,1268,1277,1279,1295,1297,

%U 1306,1315,1331,1340,1342,1349,1358,1360,1369,1385,1394,1405,1423,1441,1448,1457

%N Numbers n with property that average digit of n^2 is s=4.

%e 41^2 = 1681 and (1 + 6 + 8 + 1)/4 = 4

%e 58^2 = 3364 and (3 + 3 + 6 + 4)/4 = 4.

%o (PARI) dsum(n)={my(s=0);while(n>9,s+=n%10;n\=10);s+n};

%o for(n=1,1e6,if(dsum(n^2)/#Str(n^2)==4,print1(n","))) \\ _Charles R Greathouse IV_, Nov 01 2009

%Y Subsequence of A164817.

%Y Average of digits of n^2 = s: A164771 (s=1), A164770 (s=2), A164782 (s=3), A164776 (s=4), A164774 (s=5), A164778 (s=6), A164773 (s=7), A164772 (s=8).

%K base,nonn

%O 1,1

%A _Zak Seidov_, Aug 26 2009