OFFSET
1,1
COMMENTS
Related to a problem posed by Google and discussed on the MathWorld link.
Together with the b-file, this gives the complete list of all 35 positive numbers n such that n is equal to the number of 3's in the decimal digits of all numbers <= n. - Daniel Hirschberg (dan(AT)ics.uci.edu), May 05 2007
LINKS
Daniel Hirschberg (dan(AT)ics.uci.edu), May 05 2007, Table of n, a(n) for n = 1..35
Tanya Khovanova and Gregory Marton, Archive Labeling Sequences, arXiv:2305.10357 [math.HO], 2023. See p. 4.
Mathworld, Problem 17 of Google Labs Aptitude Test Partially Answered, MathWorld Headline News, October 13 2004.
EXAMPLE
a(1) = 371599983, since writing out all numbers from 0 to 371599983 requires that 371599983 3's be used and since 371599983 is the first such positive integer.
a(4) = 371599986 because the number of 3's in the decimal digits of the numbers from 1 to 371599986 is 371599986 and this is the 4th such number.
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
Ryan Propper, Dec 10 2004
EXTENSIONS
More terms from Daniel Hirschberg (dan(AT)ics.uci.edu), May 05 2007
STATUS
approved