OFFSET
1,1
COMMENTS
There are many examples of 4 consecutive numbers having decreasing values of sigma (see cross references) and there are 83 cases of 6 consecutive numbers with decreasing values of sigma < 4,293,000,000. Interestingly (and for unknown reasons) there are no examples of exactly 5 such consecutive numbers in that range! All known members of the sequence are multiples of 6 and one less than a multiple of 35.
REFERENCES
David Wells, The Penguin Dictionary of Curious and Interesting Numbers, entry 44.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..100
EXAMPLE
sigma(20021154)=40894848 > sigma(20021155)=35458560 > ... > sigma(20021159)=20021160.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jud McCranie, Jan 02 2000
EXTENSIONS
Name simplified by Seiichi Manyama, Aug 03 2023
STATUS
approved