OFFSET
1,1
COMMENTS
For each n>0, T(1,n) = A203985(n) is the smallest prime such that the constraints are satisfied for r+c <= n+1.
It is conjectured that the first row of the table is a permutation of the primes and the whole table, i.e., this sequence, a permutation of the positive integers.
LINKS
Eric Angelini, An array of naturals, Jan 07 2012
Eric Angelini, An array of naturals [Cached copy, with permission]
EXAMPLE
The triangle starts
r=1: 2 3 13 47 ... <- primes
r=2: 1 10 34 ...
r=3: 9 24 ...
r=4: 15 ...
which is the smallest solution as can be seen from the fact that the first column contains so far the smallest odd nonprimes. This does not remain true for subsequent rows; the triangle is determined by imposing minimality of the elements of the first row.
See the link for more data.
PROG
(PARI) table_by_antidiagonals(a)={my(u=[]); for(i=1, #a, u=concat(u, a[i]); forstep(j=i-1, 1, -1, u=concat(u, a[j]=abs(a[j]-a[j+1])))); u}
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Eric Angelini, Jan 07 2012
EXTENSIONS
Computed up to a(70*71/2) by Jean-Marc Falcoz, Jan 09 2012
STATUS
approved