OFFSET
2,2
COMMENTS
Conjecture: one of the divisors of T(n,k) is also the k-th divisor of n. In a diagram of the structure of divisors of the natural numbers (see link) the mentioned divisors of the elements of row n are located on a straight line to 45 degrees from the vertical straight line that contains the divisors of n, therefore the divisors of n are predictable.
LINKS
Alois P. Heinz, Rows n = 2..1540, flattened
FORMULA
T(n,k) = n - A027751(n,k).
EXAMPLE
Written as a triangle starting from n = 2:
1;
2;
3, 2;
4;
5, 4, 3;
6;
7, 6, 4;
8, 6;
9, 8, 5;
10;
11, 10, 9, 8, 6;
12;
MAPLE
with (numtheory):
T:= n-> map(x-> n-x, sort([(divisors(n) minus {n})[]]))[]:
seq (T(n), n=2..50); # Alois P. Heinz, Apr 11 2012
MATHEMATICA
T[n_] := Most[n-Divisors[n]]; Table[T[n], {n, 2, 50}] // Flatten (* Jean-François Alcover, Feb 21 2017 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Feb 28 2012
STATUS
approved