A103359 T(n,k) = Max{p: prime p divides m where n-k<=m<=n+k}, triangle read by rows: 0<=k<n.

1, 2, 3, 3, 3, 5, 2, 5, 5, 7, 5, 5, 7, 7, 7, 3, 7, 7, 7, 7, 11, 7, 7, 7, 7, 11, 11, 13, 2, 7, 7, 11, 11, 13, 13, 13, 3, 5, 11, 11, 13, 13, 13, 13, 17, 5, 11, 11, 13, 13, 13, 13, 17, 17, 19, 11, 11, 13, 13, 13, 13, 17, 17, 19, 19, 19, 3, 13, 13, 13, 13, 17, 17, 19, 19, 19, 19, 23, 13, 13

Offset

1,2

Comments

T(n,0) = A006530(n); T(n,1) = A093074(n) for n>1;

T(n,n-1) = A060265(n) for n>1.

Links

Table of n, a(n) for n=1..80.

Example

Triangle begins:
1;
2, 3;
3, 3, 5;
2, 5, 5, 7;
5, 5, 7, 7, 7;
...

Mathematica

T[n_, k_] := FactorInteger[#][[-1, 1]]& /@ Range[n-k, n+k] // Max;
Table[T[n, k], {n, 1, 13}, {k, 0, n-1}] // Flatten (* Jean-François Alcover, Sep 19 2021 *)

Crossrefs

Sequence in context: A205566 A064338 A197592 * A020481 A066660 A361687

Adjacent sequences: A103356 A103357 A103358 * A103360 A103361 A103362

Keyword

nonn,tabl

Author

Reinhard Zumkeller, Mar 20 2005

Status

approved