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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..38.

S. Kitaev and J. Remmel, The 1-box pattern on pattern avoiding permutations, arXiv preprint arXiv:1305.6970 [math.CO], 2013. See Th. 7.

Index entries for linear recurrences with constant coefficients, signature (3,0,-5,0,3,1).

MATHEMATICA

Join[{0, 0, 0}, LinearRecurrence[{3, 0, -5, 0, 3, 1}, {0, 2, 6, 17, 42, 97}, 36]] (* Jean-Fran├žois Alcover, Feb 12 2019 *)

CROSSREFS

Sequence in context: A192707 A252814 A072077 * A130104 A014833 A019439

Adjacent sequences:  A229729 A229730 A229731 * A229733 A229734 A229735

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 01 2013

STATUS

approved

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Last modified August 7 17:44 EDT 2020. Contains 336278 sequences. (Running on oeis4.)