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The following triangle contains n smallest numbers with the prime signature of n!. Sequence contains the triangle by rows.
3

%I #6 Dec 05 2013 19:57:05

%S 1,2,3,6,10,14,24,40,54,56,120,168,264,270,280,720,1008,1200,1584,

%T 1620,1872,5040,7920,8400,9360,11088,11340,11760,40320,63360,67200,

%U 74880,88704,94080,97920,104832,362880,570240,673920,798336,881280,943488,984960,1192320,1224720

%N The following triangle contains n smallest numbers with the prime signature of n!. Sequence contains the triangle by rows.

%C 1

%C 2 3

%C 6 10 14

%C 24 40 54 56

%C ...

%C n! is the smallest number with that prime signature.

%e 4! = 24 = 2^3*3, 40 = 2^3*5, 54=3^3*2, 56=2^3*7

%e Hence the row corresponding n = 4 is 24,40,54,56.

%Y Cf. A111468, A111469.

%K easy,nonn,tabl

%O 1,2

%A _Amarnath Murthy_, Aug 05 2005

%E More terms from _R. J. Mathar_, May 08 2007