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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

Table of n, a(n) for n=0..60.

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.)