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A055537
Number of asymmetric types of (4,n)-hypergraphs under action of symmetric group S_4.
0
7, 64, 352, 1485, 5245, 16290, 45830, 119042, 289367, 664878, 1455136, 3051762, 6163153, 12033700, 22792660, 41997387, 75463460, 132510654, 227803866, 384031745, 635752338, 1034842530, 1658130458, 2617965384, 4076707044
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OFFSET
3,1
LINKS
Table of n, a(n) for n=3..27.
FORMULA
G.f.: (1/(1-x)^16-6/(1-x)^8/(1-x^2)^4-3/(1-x)^4/(1-x^2)^6+8/(1-x)^4/(1-x^3)^4+2/(1-x)^2/(1-x^2)^3/(1-x^4)^2+6/(1-x)^4/(1-x^2)^4/(1-x^4)-8/(1-x)^2/(1-x^4)^2/(1-x^6))/24
EXAMPLE
There are 7 asymmetric (4,3)-hypergraphs: {{1,2},{1,2,3},{1,3,4}}, {{1,2},{1,3},{1,2,4}}, {{1,2},{1,2},{1,3}}, {{1},{1,2},{1,2,3}}, {{1},{2,3},{1,2,4}}, {{1},{1,2},{2,3}}, {{1},{2},{1,3}}.
CROSSREFS
Cf.
A006148
.
Sequence in context:
A195630
A136955
A027767
*
A333991
A159617
A098307
Adjacent sequences:
A055534
A055535
A055536
*
A055538
A055539
A055540
KEYWORD
nonn
AUTHOR
Vladeta Jovovic
, Jul 09 2000
EXTENSIONS
More terms from
James A. Sellers
, Jul 11 2000
STATUS
approved
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Last modified May 7 08:17 EDT 2024. Contains 372300 sequences. (Running on oeis4.)