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 A231166 Number of permutations of [n] avoiding simultaneously consecutive patterns 1243, 1342, and 1324. 4
 1, 1, 2, 6, 21, 91, 467, 2755, 18523, 139740, 1169616, 10763807, 108028386, 1174391384, 13748315494, 172439034531, 2306986699190, 32792999417180, 493559520202535, 7841127918788283, 131127477517244419, 2302491655047553206, 42355105188617740229 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..70 A. Baxter, B. Nakamura, and D. Zeilberger, Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes S. Kitaev and T. Mansour, On multi-avoidance of generalized patterns EXAMPLE a(4) = 24 - 3: 1243, 1342, 1324 are avoided. MAPLE b:= proc(u, o, s, t) option remember; `if`(u+o=0, 1,        add(b(u-j, o+j-1, `if`(t>0, t, 0), `if`(t>0, -j, 0)),            j=`if`(s>0 and t>0, s+t-1, 1)..u)+        add(b(u+j-1, o-j, `if`(t>0, t, 0), +j),            j=1..`if`(s>0 and t<0 and -t b(n, 0\$3): seq(a(n), n=0..25); CROSSREFS Cf. A113228, A117156, A117226. Sequence in context: A033540 A177479 A147719 * A115089 A304196 A266328 Adjacent sequences:  A231163 A231164 A231165 * A231167 A231168 A231169 KEYWORD nonn AUTHOR Alois P. Heinz, Nov 04 2013 STATUS approved

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Last modified April 19 10:56 EDT 2019. Contains 322258 sequences. (Running on oeis4.)