VOOZH about

URL: https://oeis.org/A387835

⇱ A387835 - OEIS

login
A387835
Irregular table read by rows: T(n,k) is the greatest number m such that m^k divides n, where k = 1..A051903(n).
1
2, 3, 4, 2, 5, 6, 7, 8, 2, 2, 9, 3, 10, 11, 12, 2, 13, 14, 15, 16, 4, 2, 2, 17, 18, 3, 19, 20, 2, 21, 22, 23, 24, 2, 2, 25, 5, 26, 27, 3, 3, 28, 2, 29, 30, 31, 32, 4, 2, 2, 2, 33, 34, 35, 36, 6, 37, 38, 39, 40, 2, 2, 41, 42, 43, 44, 2, 45, 3, 46, 47, 48, 4, 2, 2
OFFSET
2,1
COMMENTS
The terms in a row are nonincreasing.
LINKS
FORMULA
a(n) >= 2.
T(n,1) = n.
T(n,k) >= T(n,k+1) for A051903(n) > 1 and k = 1..A051903(n)-1.
EXAMPLE
The table T(n,k) begins:
n\k 1 2 3 4 ...
2: 2
3: 3
4: 4 2
5: 5
6: 6
7: 7
8: 8 2 2
9: 9 3
10: 10
11: 11
12: 12 2
13: 13
14: 14
15: 15
16: 16 4 2 2
...
MAPLE
T:=(n, k)->mul(i[1]^iquo(i[2], k), i in ifactors(n)[2]);
seq(seq(T(n, k), k=1..max(map2(op, 2, ifactors(n)[2]))), n=2..48);
CROSSREFS
KEYWORD
nonn,tabf,easy
AUTHOR
Felix Huber, Sep 23 2025
STATUS
approved