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A174073
Number of permutations of length n without modular consecutive triples i,i+2,i+4.
7
1, 1, 2, 3, 24, 100, 594, 4389, 35744, 325395, 3288600, 36489992, 441091944, 5770007009, 81213883898, 1223895060315, 19662509172096, 335472890422812, 6057979283966814, 115434096553014565, 2314691409661484600, 48723117262650147387, 1074208020519754180896, 24755214452825129257168
OFFSET
0,3
REFERENCES
Wayne M. Dymacek, Isaac Lambert and Kyle Parsons, Arithmetic Progressions in Permutations, http://math.ku.edu/~ilambert/CN.pdf, 2012.
LINKS
Kyle Parsons, Arithmetic Progressions in Permutations, thesis, 2011. See Table 4 p. 12.
EXAMPLE
For example, a(5) does not count the permutation (0,4,1,3,2) since 4,1,3 is an arithmetic progression of 2 mod(5).
CROSSREFS
Column k=0 of A216724.
Sequence in context: A371480 A354277 A157327 * A009231 A012304 A047157
KEYWORD
nonn
AUTHOR
Isaac Lambert, Mar 06 2010
EXTENSIONS
a(11)-a(17) from Alois P. Heinz, Apr 13 2021
Terms a(18) onward from Max Alekseyev, Feb 04 2024
STATUS
approved