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Search: id:A107955
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| A107955 |
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Number of chains in the power set lattice or the number of fuzzy subsets of a (n+5)-elements set X_(n+5) with specification n elements of one kind, 4 elements of another and 1 of yet another kind. |
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+0
1
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| 191, 1471, 7551, 31871, 119231, 410303, 1327103, 4090623, 12130303, 34842623, 97435647, 266313727, 713637887, 1879523327, 4875091967, 12474187775, 31531728895, 78832992255, 195135799295, 478649778175, 1164351373311
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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This sequence is another example, together with A107953 and A107954, of a triple sequence A(n,m,l) with n a nonnegative integer, m = 4 and l = 1.
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REFERENCES
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V. Murali, On the enumeration of fuzzy subsets of an (n+5)-elements set X_(n+5) of specification n^1 4^1 1, Rhodes University JRC-Abstract-Report, In Preparation, 15 pages 2005.
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LINKS
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V. Murali, FSRG Rhodes University.
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FORMULA
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a(n) = (2^(n+1))*(1/24)*(n^5 + 36 n^4 + 431 n^3 + 2088 n^2 + 3972 n + 2304) -1
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EXAMPLE
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a(3) = (2^(3+1))*(1/24)*(3^5 + 36 * 3^4 + 431 * 3^3 + 2088 * 3^2 + 3972 * 3 + 2304) - 1 = 31871. This is the number of chains in the power set lattice ( which is also the number of fuzzy subsets ) of X_(n+5).
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CROSSREFS
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Cf. A007047, A107392, A107464, A107953, A107954.
Sequence in context: A103733 A142451 A083980 this_sequence A061331 A084003 A118095
Adjacent sequences: A107952 A107953 A107954 this_sequence A107956 A107957 A107958
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Venkat Murali (v.murali(AT)ru.ac.za), Jun 01 2005
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