paartition into parts in Arithmetic progression

[Ralf Stephan]

[for the benefit of future requests]

It is very easy to answer such questions yourself. First, you have
to see that having a Un*x system makes you smarter since you can use
the offline version of the EIS for that. Then it is a matter of at most
one minute to come up with

$ grep -hi '%N.*partition' | grep -i arithmetic

%N A006997 Partitioning integers to avoid arithmetic progressions of length 3.
%N A006998 Partitioning integers to avoid arithmetic progressions of length 3.
%N A006999 Partitioning integers to avoid arithmetic progressions of length 3.
%N A053732 Ways to partition {1,...,n} into arithmetic progressions of length >= 1.
%N A072255 Number of ways to partition {1,2,...,n} into arithmetic progressions, where in each partition all the progressions have the same common difference and have lengths greater than or equal to 2.


ralf