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A058159 Triangle read by rows: T(n,k) is the number of labeled commutative monoids of order n with k idempotents. 8
1, 2, 2, 3, 18, 6, 16, 180, 144, 36, 30, 2040, 3240, 1740, 380, 360, 43170, 81000, 70740, 31680, 6390, 840, 1400112, 2589510, 2976960, 2055480, 832230, 157962, 15360, 110488616, 117733728, 144285960, 130781280, 79626120, 30004128, 5396888, 68040, 30647444544, 9223088112, 8744866704, 8997002280, 7154708400, 4005012816, 1421659512, 243179064 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..55 (rows 1..10)
FORMULA
T(n, k) = A058160(n, k)*n.
EXAMPLE
Triangle begins:
1;
2, 2;
3, 18, 6;
16, 180, 144, 36;
30, 2040, 3240, 1740, 380;
360, 43170, 81000, 70740, 31680, 6390;
...
CROSSREFS
Row sums give A058155.
Column 1: A034382.
Main diagonal: A055512.
Cf. A058142 (isomorphism classes), A058157, A058160.
Sequence in context: A035796 A049009 A101817 * A058157 A348667 A230504
KEYWORD
nonn,tabl
AUTHOR
Christian G. Bower, Nov 14 2000
EXTENSIONS
Terms a(30) and beyond from Andrew Howroyd, Feb 15 2022
STATUS
approved

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Last modified September 17 08:52 EDT 2024. Contains 375987 sequences. (Running on oeis4.)