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

%I A308262 #12 May 17 2019 22:07:06
%S A308262 0,1,5,6,10,11,25,36,50,51,60,61,100,101,110,111,250,251,360,361,425,
%T A308262 500,501,510,511,600,601,610,611,936,1000,1001,1010,1011,1100,1101,
%U A308262 1110,1111,1936,2500,2501,2510,2511,3600,3601,3610,3611,4250,4251,5000,5001
%N A308262 Numbers m such that A048385(m) ends with m.
%C A308262 If m belongs to this sequence, then A048385(m) belongs to this sequence.
%C A308262 If m belongs to this sequence, then 10*m and 10*m + 1 belong to this sequence.
%C A308262 This sequence contains A007088.
%C A308262 All terms belong to A052419.
%C A308262 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
%H A308262 Rémy Sigrist, <a href="/A308262/a308262.gp.txt">PARI program for A308262</a>
%e A308262 The first terms, alongside A048385(a(n)), are:
%e A308262   n   a(n)  A048385(a(n))
%e A308262   --  ----  -------------
%e A308262    1     0              0
%e A308262    2     1              1
%e A308262    3     5             25
%e A308262    4     6             36
%e A308262    5    10             10
%e A308262    6    11             11
%e A308262    7    25            425
%e A308262    8    36            936
%e A308262    9    50            250
%e A308262   10    51            251
%e A308262   11    60            360
%e A308262   12    61            361
%o A308262 (PARI) See Links section.
%o A308262 (MATLAB) m=1;
%o A308262 for u=0:5001
%o A308262     digit=dec2base(u,10)-'0';digitp=digit.^2;
%o A308262     aa=str2num(strrep(num2str(digitp), ' ', ''));
%o A308262     digitaa=dec2base(aa,10)-'0';
%o A308262        if mod(aa,10^length(digit))==u
%o A308262         sol(m)=u; m=m+1;
%o A308262        end
%o A308262 end
%o A308262 sol % _Marius A. Burtea_, May 17 2019
%Y A308262 Cf. A003226, A007088, A048385, A052419.
%K A308262 nonn,base
%O A308262 1,3
%A A308262 _Rémy Sigrist_, May 17 2019