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A225065 Numbers of the form n^2 plus the sum of squared digits of n^2. 1

%I #14 Apr 30 2013 12:40:42

%S 2,20,53,54,81,90,101,116,127,146,177,258,287,314,321,353,407,416,438,

%T 474,580,639,686,690,797,863,913,922,981,1045,1079,1219,1235,1259,

%U 1418,1493,1496,1552,1637,1783,1866,2011,2058,2063,2158,2298,2333,2422,2529

%N Numbers of the form n^2 plus the sum of squared digits of n^2.

%C Note that consecutive terms are not necessarily generated by consecutive values of n.

%C It appears that 146 is the only term that can be generated by two values of n (7 and 9). There are no other duplicates in the first 10000 terms.

%H Christian N. K. Anderson, <a href="/A225065/b225065.txt">Table of n, a(n) for n = 1..10000</a>

%e For n=11: 11^2=121; 121 + 1^2 + 2^2 + 1^2 = 127.

%o (R) sort(unique((1:101)^2+sapply((1:101)^2,function(x) sum(as.numeric(unlist(strsplit(as.character(x),split="")))^2))))

%Y Cf. A176995, A062028, A209303.

%K nonn,base

%O 1,1

%A _Kevin L. Schwartz_ and _Christian N. K. Anderson_, Apr 26 2013

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Last modified April 18 18:10 EDT 2024. Contains 371781 sequences. (Running on oeis4.)