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A229732
G.f.: x^4*(2 - x^2 + x^3 + x^4)/(1-x-x^2)^3.
0
0, 0, 0, 0, 2, 6, 17, 42, 97, 212, 446, 910, 1813, 3542, 6809, 12912, 24202, 44910, 82609, 150786, 273353, 492532, 882598, 1573766, 2793605, 4938670, 8698129, 15266688, 26710610, 46595766, 81063473, 140670426, 243530641, 420673076, 725165006, 1247627998, 2142593365, 3673217414, 6287062121
OFFSET
0,5
LINKS
S. Kitaev and J. Remmel, The 1-box pattern on pattern avoiding permutations, arXiv preprint arXiv:1305.6970 [math.CO], 2013. See Th. 7.
MATHEMATICA
Join[{0, 0, 0}, LinearRecurrence[{3, 0, -5, 0, 3, 1}, {0, 2, 6, 17, 42, 97}, 36]] (* Jean-François Alcover, Feb 12 2019 *)
CoefficientList[Series[x^4(2-x^2+x^3+x^4)/(1-x-x^2)^3, {x, 0, 50}], x] (* Harvey P. Dale, Aug 09 2024 *)
CROSSREFS
Sequence in context: A192707 A252814 A072077 * A130104 A014833 A019439
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 01 2013
STATUS
approved