

A108571


Any digit d in the sequence says: "I am part of an integer in which you'll find d digits "d".


11



1, 22, 122, 212, 221, 333, 1333, 3133, 3313, 3331, 4444, 14444, 22333, 23233, 23323, 23332, 32233, 32323, 32332, 33223, 33232, 33322, 41444, 44144, 44414, 44441, 55555, 122333, 123233, 123323, 123332, 132233, 132323, 132332, 133223, 133232
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OFFSET

1,2


COMMENTS

The sequence is finite. Last term: 999999999888888887777777666666555554444333221.
Number of terms is 66712890763701234740813164553708284.  Zak Seidov, Jan 02 2007
Fixed points of A139337.  Reinhard Zumkeller, Apr 14 2008
Sequence contains squares (A181392) and cubes (A225886) but no higher powers, see Comments in A181392.  Giovanni Resta, May 19 2013


LINKS

T. D. Noe, Table of n, a(n) for n=1..21056 (terms < 10^10)


EXAMPLE

23323 is in the sequence because it has two 2's and three 3's.
23332 is in the sequence because it has two 2's and three 3's.
23333 is not in the sequence because it has only one 2 and four 3's.


PROG

(PARI) is(n)={ vecmin(n=vecsort(digits(n))) && #n==normlp(Set(n), 1) && !for(i=1, #n, n[i+n[i]1]==n[i]  return; i+n[i]>#n  n[i+n[i]]>n[i]  return; n[i]>1 && i+=n[i]1)} \\ M. F. Hasler, Sep 22 2014


CROSSREFS

Cf. A127007, A139337, A181392, A225886.
Sequence in context: A156293 A225308 A043498 * A247700 A105776 A044354
Adjacent sequences: A108568 A108569 A108570 * A108572 A108573 A108574


KEYWORD

base,easy,fini,nonn


AUTHOR

Eric Angelini, Jul 05 2005


STATUS

approved



