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A055536
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Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.
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0
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1, 8, 29, 82, 198, 426, 841, 1556, 2726, 4568, 7373, 11522, 17507, 25958, 37658, 53582, 74924, 103130, 139938, 187426, 248044, 324678, 420698, 540014, 687141, 867274, 1086343, 1351108, 1669234, 2049376, 2501275, 3035866, 3665362
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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FORMULA
| G.f.: (1/(1-x)^8-3/(1-x)^4/(1-x^2)^2+2/(1-x)^2/(1-x^3)^2)/6.
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EXAMPLE
| There are 8 asymmetric (3,3)-hypergraphs: {{1,2},{1,2},{1,3}}, {{1},{1,2},{1,2,3}}, {{1},{1,2},{1,2}}, {{1},{1},{1,2}}, {{1},{1,2},{2,3}}, {{1},{2},{1,3}}, {{1},{1},{2}}, {0,{1},{1,2}}.
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CROSSREFS
| Cf. A002727.
Sequence in context: A106113 A028419 A046664 * A131438 A048478 A001360
Adjacent sequences: A055533 A055534 A055535 * A055537 A055538 A055539
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KEYWORD
| nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 09 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 11 2000
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