Search: id:A047841
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%I A047841
%S A047841 22,10213223,10311233,10313314,10313315,10313316,10313317,10313318,
%T A047841 10313319,21322314,21322315,21322316,21322317,21322318,21322319,
%U A047841 31123314,31123315,31123316,31123317,31123318,31123319
%N A047841 Autobiographical numbers: Fixed under operator T (A047842): "Say what 
               you see".
%C A047841 A digit count numerically summarizes the frequency of digits 0 through 
               9 in that order when they occur in a number.
%C A047841 This uses a different method from A108810. Here the digits are described 
               in increasing order, whereas in A108810 they can be described in 
               any order.
%C A047841 a(n) is finite, since T(x) < x for every x with at least 22 digits. Last 
               term is a(109)=101112213141516171819.
%D A047841 J. N. Kapur, Reflections of a Mathematician, Chapter 33, pp. 314-318, 
               Arya Book Depot, New Delhi 1996.
%H A047841 David Wasserman, <a href="b047841.txt">Table of n, a(n) for n = 1..109</
               a>
%e A047841 10313314 contains 1 0's, 3 1's, 3 3's and 1 4's, hence T(10313314) = 
               10313314 is in the sequence
%e A047841 The entry 3122331418, for instance, is a member since it is indeed made 
               up of three 1's, two 2's, three 3's, one 4 and one 8.
%Y A047841 Cf. A005151, which is the sequence 1, T(1), T(T(1)), .. ending in the 
               fixed-point 21322314.
%Y A047841 Cf. A104785, A104786, A104787, A108810.
%Y A047841 Sequence in context: A145323 A013816 A104789 this_sequence A104784 A013902 
               A056667
%Y A047841 Adjacent sequences: A047838 A047839 A047840 this_sequence A047842 A047843 
               A047844
%K A047841 nonn,fini,base,nice,eigen
%O A047841 1,1
%A A047841 Ulrich Schimke (ulrschimke(AT)aol.com)
%E A047841 Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Dec 15 2006

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