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A103359 T(n,k) = Max{p: prime p divides m where n-k<=m<=n+k}, triangle read by rows: 0<=k<n. 1
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
Reinhard Zumkeller, Mar 20 2005
STATUS
approved

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Last modified June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)