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A230555
Number of involutions avoiding 3421.
6
1, 1, 2, 4, 10, 25, 66, 173, 460, 1218, 3240, 8602, 22878, 60794, 161668, 429752, 1142758, 3038173, 8078606, 21479469, 57113888
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OFFSET
0,3
LINKS
Table of n, a(n) for n=0..20.
Miklós Bóna, Cheyne Homberger, Jay Pantone, and Vince Vatter,
Pattern-avoiding involutions: exact and asymptotic enumeration
, arxiv:1310.7003 [math.CO], 2013-2014.
EXAMPLE
Of the 26 involutions of length 5, only 45312 contains the pattern 3421, so a(5) = 25.
CROSSREFS
Cf.
A000085
,
A001006
,
A121704
,
A230551
,
A230552
,
A230553
,
A230554
,
A230556
.
Sequence in context:
A005958
A166516
A230552
*
A189912
A268321
A195981
Adjacent sequences:
A230552
A230553
A230554
*
A230556
A230557
A230558
KEYWORD
nonn
,
more
AUTHOR
Cheyne Homberger
, Oct 23 2013
STATUS
approved