A060176 Table T(n,k) by antidiagonals of value of largest power of k-th prime which divides n.

1, 1, 2, 1, 1, 1, 1, 1, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 9, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2

Offset

1,3

Comments

Product of rows is n

Links

Table of n, a(n) for n=1..105.

Formula

T(n, k) =A000040(k)^A060175(n, k)

Example

a(12,2)=4 since 4=2^2 divides 12 but 8=2^3 does not.

Crossrefs

Columns include A006519, A038500.

Sequence in context: A361754 A298848 A193518 * A305297 A218220 A247487

Adjacent sequences: A060173 A060174 A060175 * A060177 A060178 A060179

Keyword

easy,nonn,tabl

Author

Henry Bottomley, Mar 14 2001

Status

approved