A238747 - OEIS

%I #9 May 15 2014 12:17:45

%S 1,1,1,1,2,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,3,

%T 1,1,2,2,2,2,1,2,2,1,1,1,3,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,

%U 2,2,1,2,1,1,2,1,1,1,2,3,1,1,1,2,3,1,1

%N Row n of table gives prime metasignature of n: count total appearances of each distinct integer that appears in the prime signature of n, then arrange totals in nonincreasing order.

%C A prime metasignature is analogous to the signature of a partition (cf. A115621); it is the signature of a prime signature.

%C Row n also gives prime signature of A181819(n).

%F Row n is identical to row A181819(n) of table A212171.

%e The prime signature of 72 (2^3*3^2) is {3,2}. The numbers 3 and 2 each appear once; therefore, the prime metasignature of 72 is {1,1}.

%e The prime signature of 120 (2^3*3*5) is {3,1,1}. 3 appears 1 time and 1 appears 2 times; therefore, the prime metasignature of 120 is {2,1}.

%Y Length of row n equals A071625(n); sum of numbers in row n is A001221(n).

%Y Cf. A115621, A181819, A238748.

%K nonn,tabf

%O 2,5

%A _Matthew Vandermast_, May 08 2014