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A361240
Number of nonequivalent noncrossing triangular cacti with n triangles up to rotation and reflection.
3
1, 1, 1, 4, 19, 124, 931, 7801, 68685, 630850, 5966610, 57808920, 571178751, 5737672339, 58455577800, 602859484608, 6283968796705, 66119472527814, 701526880303315, 7498841163925819, 80696081185766970, 873654670250482120, 9510760874015305314, 104056578392127906720
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OFFSET
0,4
LINKS
Andrew Howroyd,
Table of n, a(n) for n = 0..500
FORMULA
a(2*n) = (
A361237
(2*n) +
A002294
(n))/2; a(2*n+1) = (
A361237
(2*n+1) +
A118970
(n))/2.
CROSSREFS
Column 3 of
A361239
.
Cf.
A002294
,
A118970
,
A361237
.
Sequence in context:
A094822
A280939
A121125
*
A377967
A099953
A009324
Adjacent sequences:
A361237
A361238
A361239
*
A361241
A361242
A361243
KEYWORD
nonn
AUTHOR
Andrew Howroyd
, Mar 06 2023
STATUS
approved
