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A118100
Number of commutative semigroups of order <= n.
0
1, 2, 5, 17, 75, 400, 2543, 19834, 241639
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OFFSET
0,2
COMMENTS
A001426
(n) is the number of commutative semigroups of order n.
A001426
(n) +
A079193
(n) +
A079196
(n) +
A079199
(n) =
A001329
(n). 2, 5, 17, 2543 and 241639 are primes.
LINKS
Table of n, a(n) for n=0..8.
Index entries for sequences related to semigroups
.
FORMULA
a(n) = SUM[i=1..n]
A001426
(i).
EXAMPLE
a(8) = 1 + 1 + 3 + 12 + 58 + 325 + 2143 + 17291 + 221805 = 241639.
CROSSREFS
Cf.
A001423
,
A001426
,
A023815
,
A027851
,
A058105
,
A058116
.
Sequence in context:
A260948
A259870
A348878
*
A129591
A328439
A328504
Adjacent sequences:
A118097
A118098
A118099
*
A118101
A118102
A118103
KEYWORD
nonn
AUTHOR
Jonathan Vos Post
, May 11 2006
STATUS
approved
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Last modified April 25 16:38 EDT 2024. Contains 371989 sequences. (Running on oeis4.)