|
Search: id:A047841
|
|
|
| A047841 |
|
Autobiographical numbers: Fixed under operator T (A047842): "Say what you see". |
|
+0
10
|
|
| 22, 10213223, 10311233, 10313314, 10313315, 10313316, 10313317, 10313318, 10313319, 21322314, 21322315, 21322316, 21322317, 21322318, 21322319, 31123314, 31123315, 31123316, 31123317, 31123318, 31123319
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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.
a(n) is finite, since T(x) < x for every x with at least 22 digits. Last term is a(109)=101112213141516171819.
|
|
REFERENCES
|
J. N. Kapur, Reflections of a Mathematician, Chapter 33, pp. 314-318, Arya Book Depot, New Delhi 1996.
|
|
LINKS
|
David Wasserman, Table of n, a(n) for n = 1..109
|
|
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 fixed-point 21322314.
Cf. A104785, A104786, A104787, A108810.
Sequence in context: A145323 A013816 A104789 this_sequence A104784 A013902 A056667
Adjacent sequences: A047838 A047839 A047840 this_sequence A047842 A047843 A047844
|
|
KEYWORD
|
nonn,fini,base,nice,eigen
|
|
AUTHOR
|
Ulrich Schimke (ulrschimke(AT)aol.com)
|
|
EXTENSIONS
|
Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Dec 15 2006
|
|
|
Search completed in 0.002 seconds
|
