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

1,1

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.

Links

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

Example

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

Prog

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

Crossrefs

Cf. A176995, A062028, A209303.

Sequence in context: A097652 A261838 A349503 * A059211 A331090 A139271

Adjacent sequences: A225062 A225063 A225064 * A225066 A225067 A225068

Keyword

nonn,base

Author

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

Status

approved