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A096294 Triangle T(n,k) read by rows: for n >=0 and n >= k >=0, the fraction of positive integers with exactly k of the first n primes as divisors is T(n,k)/A002110(n). 2

%I

%S 1,1,1,2,3,1,8,14,7,1,48,92,56,13,1,480,968,652,186,23,1,5760,12096,

%T 8792,2884,462,35,1,92160,199296,152768,54936,10276,1022,51,1,1658880,

%U 3679488,2949120,1141616,239904,28672,1940,69,1,36495360,82607616

%N Triangle T(n,k) read by rows: for n >=0 and n >= k >=0, the fraction of positive integers with exactly k of the first n primes as divisors is T(n,k)/A002110(n).

%C Sum of entries in n-th row is A002110(n), the product of the first n primes (primorial numbers, first definition).

%e Triangle begins:

%e 1

%e 1 1

%e 2 3 1

%e 8 14 7 1

%e 48 92 56 13 1

%e 480 968 652 186 23 1

%Y First column is A005867; second column is A078456. See also A096180.

%K nonn,tabl

%O 0,4

%A _Matthew Vandermast_, Jun 24, 2004

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Last modified December 4 06:30 EST 2016. Contains 278749 sequences.