[seqfan] Re Mystery of A049476

[Neil Sloane]

I managed to reach Professor Fred Roush, froush at alasu.edu  (Alabama
State Univ., Montgomery) who did not remember the paper and did not have a
copy, but suggested I write to Douglas Rogers (which I have now done).

However, Fred Roush did have some suggestions that might help clear up the
mystery.  Here is what he said:

(i)  A088643 seems pretty clear, in the
nth row  take any entry e and to get the next, add the largest number b
which is at most n-1 and is such that
e+b is a prime and has not previously occurred in this row.   I am not sure
about the other two sequences I was
sent, but I guess that A049476 records those rows that in some sense are
the most unlike a straight decreasing sequence
n  n-1 n-2 ...   1 and that A049478 gives a measure of how different the
row is from that permutation.

and in a follow-up he said:

(ii)  Maybe what we were looking for is in each row the first interval of
numbers n, n-1, ..., n-k+1  which is permuted onto itself by the
row considered as a permutation.  This seems to work for 1, 2,  5, 13, 14.
 This set of numbers has then a gap down to the next
such set of numbers.

Maybe this answers Sean's question?
Best regards
Neil

Neil J. A. Sloane, Chairman, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com