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 A317282 Number of permutations of [n] with exactly two increasing runs of even length. 2
 5, 43, 258, 1853, 15634, 133697, 1207256, 11974457, 126980013, 1421291622, 16925790480, 213992804118, 2851968574855, 39996895523591, 589713707701692, 9114791365659163, 147335664946835342, 2486973983349027871, 43763134470537718258, 801419373432471123541 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 4..472 MAPLE b:= proc(u, o, t) option remember; series(`if`(u+o=0, x^t, add(b(u+j-1, o-j, irem(t+1, 2)), j=1..o)+ add(b(u-j, o+j-1, 0)*x^t, j=1..u)), x, 3) end: a:= n-> coeff(b(n, 0\$2), x, 2): seq(a(n), n=4..30); CROSSREFS Column k=2 of A097592. Sequence in context: A173554 A126963 A221874 * A182191 A038140 A178826 Adjacent sequences: A317279 A317280 A317281 * A317283 A317284 A317285 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 25 2018 STATUS approved

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Last modified March 25 00:24 EDT 2023. Contains 361511 sequences. (Running on oeis4.)