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A060176 Table T(n,k) by antidiagonals of value of largest power of k-th prime which divides n. 2

%I #4 Mar 30 2012 18:51:33

%S 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,

%T 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,

%U 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

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

%C Product of rows is n

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

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

%Y Columns include A006519, A038500.

%K easy,nonn,tabl

%O 1,3

%A _Henry Bottomley_, Mar 14 2001

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