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

2, 20, 53, 54, 81, 90, 101, 116, 127, 146, 177, 258, 287, 314, 321, 353, 407, 416, 438, 474, 580, 639, 686, 690, 797, 863, 913, 922, 981, 1045, 1079, 1219, 1235, 1259, 1418, 1493, 1496, 1552, 1637, 1783, 1866, 2011, 2058, 2063, 2158, 2298, 2333, 2422, 2529

Offset: 1

Author

Kevin L. Schwartz and Christian N. K. Anderson, Apr 26 2013

Keywords

• nonn
• base

Comments

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

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.

Examples

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

Links

• Christian N. K. Anderson, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A176995, A062028, A209303.

Programs

R

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