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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). +0
1
1, 1, 1, 2, 3, 1, 8, 14, 7, 1, 48, 92, 56, 13, 1, 480, 968, 652, 186, 23, 1, 5760, 12096, 8792, 2884, 462, 35, 1, 92160, 199296, 152768, 54936, 10276, 1022, 51, 1, 1658880, 3679488, 2949120, 1141616, 239904, 28672, 1940, 69, 1, 36495360, 82607616 (list; table; graph; listen)
OFFSET

0,4

COMMENT

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

EXAMPLE

Triangle begins:

1

1 1

2 3 1

8 14 7 1

48 92 56 13 1

480 968 652 186 23 1

CROSSREFS

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

Sequence in context: A103749 A103750 A098435 this_sequence A157963 A158502 A135950

Adjacent sequences: A096291 A096292 A096293 this_sequence A096295 A096296 A096297

KEYWORD

nonn,tabl

AUTHOR

Matthew Vandermast (ghodges14(AT)comcast.net), Jun 24, 2004

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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