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 A330774 Number of n-color perfect compositions of n. 1
 1, 1, 1, 5, 1, 11, 1, 61, 7, 15, 1, 259, 1, 19, 17, 1901, 1, 383, 1, 511, 21, 27, 1, 14147, 11, 31, 187, 859, 1, 1403, 1, 147661, 29, 39, 25, 39307, 1, 43, 33, 42351, 1, 2303, 1, 1843, 947, 51, 1, 1815811, 15, 1255, 41, 2479, 1, 46697, 33, 97339, 45, 63, 1, 219347, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS 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. LINKS A. O. Munagi, Perfect Compositions of Numbers, J. Integer Seq. 23 (2020), art. 20.5.1. EXAMPLE 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). CROSSREFS Cf. A330773, A165552, A001906, A002033, A074206. Sequence in context: A189745 A062967 A245211 * A296307 A238554 A067292 Adjacent sequences:  A330771 A330772 A330773 * A330775 A330776 A330777 KEYWORD nonn AUTHOR Augustine O. Munagi, Dec 30 2019 STATUS approved

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Last modified September 22 11:29 EDT 2020. Contains 337289 sequences. (Running on oeis4.)