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A219678 Number of tripartite partitions of (n,n,n) into triples. 3
1, 5, 66, 686, 6721, 58616, 476781, 3608348, 25781989, 174810494, 1132328205, 7037425172, 42140788751, 243918472743, 1368647208107, 7462686474948, 39626100989332, 205283558905562, 1039263967957447, 5149048724566723, 24998922141116056, 119073277412589351 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) is also the number of factorizations of m^n where m is a product of 3 distinct primes.  a(1) = 5: (2*3*5)^1 = 30 has 5 factorizations: 30, 5*6, 3*10, 2*3*5, 2*15.

LINKS

Sean A. Irvine, Table of n, a(n) for n = 0..29

EXAMPLE

a(1) = 5: [(1,1,1)], [(1,1,0),(0,0,1)], [(1,0,1),(0,1,0)], [(1,0,0),(0,1,0),(0,0,1)], [(0,1,1),(1,0,0)].

CROSSREFS

Column k=3 of A219727.

Cf. A219560.

Sequence in context: A263786 A169934 A162443 * A297743 A279463 A209935

Adjacent sequences:  A219675 A219676 A219677 * A219679 A219680 A219681

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 26 2012

EXTENSIONS

More terms from Sean A. Irvine, Aug 14 2014

STATUS

approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)