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A361912
The number of unlabeled graded posets with n elements.
5
1, 1, 2, 4, 10, 28, 93, 354, 1621, 9110, 64801, 595976, 7204091, 115561423, 2473540433, 70853213144, 2720354016419, 140170631441858, 9702605436760235, 903309202327818566, 113234129823368903523, 19137461395401601912043, 4366007821745938984134203
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OFFSET
0,3
COMMENTS
A partially ordered set is graded if all maximal chains have the same length. This is called tiered by some authors.
LINKS
Andrew Howroyd,
Table of n, a(n) for n = 0..40
PROG
(SageMath) sum(1 for P in posets(n) if P.is_graded())
(PARI) \\ See PARI link in
A361957
for program code.
A361912seq(20) \\
Andrew Howroyd
, Apr 03 2023
CROSSREFS
Row sums of
A361957
.
Cf.
A000112
,
A223911
(labeled),
A001833
,
A361920
,
A361959
(connected).
Sequence in context:
A271207
A091175
A090594
*
A188496
A369079
A191501
Adjacent sequences:
A361909
A361910
A361911
*
A361913
A361914
A361915
KEYWORD
nonn
AUTHOR
Martin Rubey
, Mar 29 2023
EXTENSIONS
Terms a(8) and beyond from
Andrew Howroyd
, Mar 30 2023
STATUS
approved