A307735 Integers k such that if m = k + A003132(k) then k = m - A003132(m).

0, 9, 205, 212, 217, 366, 457, 663, 1314, 1315, 1348, 1672, 1742, 1792, 1797, 2005, 2012, 2017, 2129, 2201, 2208, 2213, 2216, 2305, 2404, 2405, 2465, 2564, 2565, 2671, 2741, 2748, 2789, 2829, 3114, 3115, 3205, 3303, 3306, 3394, 3436, 3475, 3696, 3819, 4204, 4205, 4245, 4347, 4475, 4542, 4629, 4647, 4688

Offset

1,2

Comments

A003132(n) is the sum of the squares of the digits of n.

Links

Table of n, a(n) for n=1..53.

Example

205 is in the sequence because 205 + 2^2 + 0^2 + 5^2 = 234 and 234 - 2^2 - 3^2 - 4^2 = 205.

Mathematica

sod2[n_] := Total @ (IntegerDigits[n]^2); aQ[n_] := sod2[n + (s=sod2[n])] == s; Select[Range[0, 4700], aQ] (* Amiram Eldar, Jul 03 2019 *)

Prog

(PARI) for(i = 0 , 5000 , a = i + norml2(digits(i)) ; b = a - norml2(digits(a)) ; if(i == b , print1(i , ", ")))

Crossrefs

Cf. A003132, A108662, A175396, A209303, A223035, A225049, A258881.

Sequence in context: A251587 A103914 A211039 * A266483 A203364 A218887

Adjacent sequences: A307732 A307733 A307734 * A307736 A307737 A307738

Keyword

nonn,base

Author

Antonio Roldán, Apr 25 2019

Status

approved