A308262 Numbers m such that A048385(m) ends with m.

0, 1, 5, 6, 10, 11, 25, 36, 50, 51, 60, 61, 100, 101, 110, 111, 250, 251, 360, 361, 425, 500, 501, 510, 511, 600, 601, 610, 611, 936, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 1936, 2500, 2501, 2510, 2511, 3600, 3601, 3610, 3611, 4250, 4251, 5000, 5001

Offset: 1

Author

Rémy Sigrist, May 17 2019

Keywords

• nonn
• base

Comments

If m belongs to this sequence, then A048385(m) belongs to this sequence.

If m belongs to this sequence, then 10*m and 10*m + 1 belong to this sequence.

This sequence contains A007088.

All terms belong to A052419.

Let U be the infinite word ...|A048385^2(16)|A048385(16)|16425 and V be the infinite word ...|A048385^2(81)|A048385(81)|81936. The terms of this sequence consist of the last x digits of either U or V followed by y digits in {0,1}, where x and y are nonnegative integers. - Charlie Neder, May 17 2019

Examples

			The first terms, alongside A048385(a(n)), are:
  n   a(n)  A048385(a(n))
  --  ----  -------------
   1     0              0
   2     1              1
   3     5             25
   4     6             36
   5    10             10
   6    11             11
   7    25            425
   8    36            936
   9    50            250
  10    51            251
  11    60            360
  12    61            361
		

Links

• Rémy Sigrist, PARI program for A308262

Crossrefs

Cf. A003226, A007088, A048385, A052419.

Programs

MATLAB

m=1;
for u=0:5001
    digit=dec2base(u,10)-'0';digitp=digit.^2;
    aa=str2num(strrep(num2str(digitp), ' ', ''));
    digitaa=dec2base(aa,10)-'0';
       if mod(aa,10^length(digit))==u
        sol(m)=u; m=m+1;
       end
end
sol % Marius A. Burtea, May 17 2019

PARI

See Links section.