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%I #22 Nov 21 2022 23:01:52
%S 1,2,1,1,3,2,1,4,3,1,1,1,1,5,2,2,4,1,2,1,1,6,3,2,5,1,3,1,1,7,4,2,2,2,
%T 1,6,1,1,1,1,1,3,3,4,1,1,8,5,2,3,2,1,7,1,2,1,1,1,4,3,5,1,1,9,6,2,4,2,
%U 1,8,1,3,1,1,1,5,3,2,2,2,6,1,1,10,3,3,1,7,2,2,2,1,1,4,4,5,2,1,9,1,4,1,1,1,6
%N Table of exponents of prime factorizations in A025487.
%C This is an enumeration of all partitions.
%H Michael De Vlieger, <a href="/A124832/b124832.txt">Table of n, a(n) for n = 2..10820</a> (rows 2 <= n <= 2500, first 106 terms from Ray Chandler).
%F A025487(n) = Product_{k=1..A061394(n)} prime(k)^T(n,k). [Edited by _M. F. Hasler_, Oct 12 2018]
%e From _M. F. Hasler_, Oct 12 2018: (Start)
%e The table starts as follows:
%e n : signature (A025487(n) = factorization)
%e 1 : [] (1 = empty product)
%e 2 : [1] (2 = 2^1)
%e 3 : [2] (4 = 2^2)
%e 4 : [1, 1] (6 = 2^1 * 3^1)
%e 5 : [3] (8 = 2^3)
%e 6 : [2, 1] (12 = 2^2 * 3^1)
%e 7 : [4] (16 = 2^4)
%e 8 : [3,1] (24 = 2^3 * 3^1)
%e 9 : [1, 1, 1] (30 = 2^1 * 3^1 * 5^1)
%e etc. (End)
%t Map[FactorInteger[#][[All, -1]] &, Import["https://oeis.org/A025487/b025487.txt", "Data"][[2 ;; 48, -1]] ] // Flatten (* _Michael De Vlieger_, Feb 06 2020 *)
%o (PARI) A124832_row(n)=factor(A025487(n))[,2] \\ _M. F. Hasler_, Oct 12 2018
%Y Cf. A025487, A036041 (row sums), A061394 (row lengths), A124829, A036036, A080577.
%K nonn,tabf
%O 2,2
%A _Franklin T. Adams-Watters_, Nov 09 2006
%E Erroneous explanations in cross-references corrected by _M. F. Hasler_, Oct 12 2018
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