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A285527 Number of super perfect rhythmic tilings of [0,3n-1] with triples. 4
1, 1, 0, 0, 0, 0, 0, 0, 0, 18, 40, 66, 0, 0, 0, 0, 0, 0, 400686, 1738012, 8495580, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

COMMENTS

A super perfect tiling of the line with triples consists of n groups of three evenly spaced points, each group having a different common interval such that all points of the line are covered, and such that all intervals are inferior or equal to n (thus, each interval belongs to [1..n]).

LINKS

Table of n, a(n) for n=0..26.

FORMULA

For n>1, a(n) = A059108(n)*2 because A059108 ignores reflected solutions. - Fausto A. C. Cariboni, May 20 2017

EXAMPLE

For n = 9, there are 18 tilings.

One is: (0,2,4), (1,5,9), (3,11,19), (6,12,18), (7,14,21), (8,17,26), (10,13,16), (15,20,25), (22,23,24), with the intervals: 1,2,3,4,5,6,7,8,9 appearing in order: 2,4,8,6,7,9,3,5,1.

It can also be represented as:

2 4 2 8 2 4 6 7 9 4 3 8 6 3 7 5 3 9 6 8 5 7 1 1 1 5 9

CROSSREFS

Cf. A261516, A320392.

Sequence in context: A039295 A043898 A231086 * A097972 A154284 A174264

Adjacent sequences:  A285524 A285525 A285526 * A285528 A285529 A285530

KEYWORD

nonn,more

AUTHOR

Tony Reix, Apr 20 2017

STATUS

approved

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Last modified December 8 01:57 EST 2019. Contains 329850 sequences. (Running on oeis4.)