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%I #26 Jun 02 2020 22:14:24
%S 1,1,1,5,1,11,1,61,7,15,1,259,1,19,17,1901,1,383,1,511,21,27,1,14147,
%T 11,31,187,859,1,1403,1,147661,29,39,25,39307,1,43,33,42351,1,2303,1,
%U 1843,947,51,1,1815811,15,1255,41,2479,1,46697,33,97339,45,63,1,219347,1
%N Number of n-color perfect compositions of n.
%C An n-color perfect composition of v is a composition into j types of each part j whose sequence of parts contains one composition of every positive integer less than n.
%H A. O. Munagi, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL23/Munagi/munagi13.html">Perfect Compositions of Numbers</a>, J. Integer Seq. 23 (2020), art. 20.5.1.
%e a(5)=11 because v=5 has eleven n-color perfect compositions: (1,1,1,1,1), (1,2,2),(2,2,1), (1,2',2'), (2',2',1), (1,1,3), (3,1,1), (1,1,3'), (3',1,1), (1,1,3''), (3'',1,1).
%Y Cf. A330773, A165552, A001906, A002033, A074206.
%K nonn
%O 0,4
%A _Augustine O. Munagi_, Dec 30 2019