

A047841


Autobiographical numbers: Fixed under operator T (A047842): "Say what you see".


24



22, 10213223, 10311233, 10313314, 10313315, 10313316, 10313317, 10313318, 10313319, 21322314, 21322315, 21322316, 21322317, 21322318, 21322319, 31123314, 31123315, 31123316, 31123317, 31123318, 31123319
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OFFSET

1,1


COMMENTS

A digit count numerically summarizes the frequency of digits 0 through 9 in that order when they occur in a number.
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.
This sequence is finite, since T(x) < x for every x with at least 22 digits. Last term is a(109) = 101112213141516171819.  Schimke
A character in the Verghese (2009) novel declares that 10213223 "is the only number that describes itself when you read it."  Alonso del Arte, Jan 26 2014


REFERENCES

J. N. Kapur, Reflections of a Mathematician, Chapter 33, pp. 314318, Arya Book Depot, New Delhi 1996.
Abraham Verghese, Cutting for Stone: A Novel. New York: Alfred A. Knopf (2009): 294.


LINKS

David Wasserman, Table of n, a(n) for n = 1..109 (full sequence)
Andre Kowacs, Studies on the Pea Pattern Sequence, arXiv:1708.06452 [math.HO], 2017.


EXAMPLE

10313314 contains 1 0's, 3 1's, 3 3's and 1 4's, hence T(10313314) = 10313314 is in the sequence
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.


CROSSREFS

Cf. A005151, which is the sequence 1, T(1), T(T(1)), .. ending in the fixedpoint 21322314.
Cf. A104785, A104786, A104787, A108810.
Sequence in context: A013816 A104789 A173101 * A267498 A267497 A267496
Adjacent sequences: A047838 A047839 A047840 * A047842 A047843 A047844


KEYWORD

nonn,fini,full,base,nice,eigen


AUTHOR

Ulrich Schimke (ulrschimke(AT)aol.com)


EXTENSIONS

Entry revised by N. J. A. Sloane, Dec 15 2006


STATUS

approved



