

A107955


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.


0



191, 1471, 7551, 31871, 119231, 410303, 1327103, 4090623, 12130303, 34842623, 97435647, 266313727, 713637887, 1879523327, 4875091967, 12474187775, 31531728895, 78832992255, 195135799295, 478649778175, 1164351373311
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,1


COMMENTS

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.


REFERENCES

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 JRCAbstractReport, In Preparation, 15 pages 2005.


LINKS

Table of n, a(n) for n=0..20.
V. Murali, FSRG Rhodes University.
Index entries for linear recurrences with constant coefficients, signature (13,72,220,400,432,256,64).


FORMULA

a(n) = (2^(n+1))*(1/24)*(n^5 + 36 n^4 + 431 n^3 + 2088 n^2 + 3972 n + 2304) 1
G.f.: (320*x^51360*x^4+2400*x^32180*x^2+1012*x191) / ((x1)*(2*x1)^6). [Colin Barker, Dec 10 2012]


EXAMPLE

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).


CROSSREFS

Cf. A007047, A107392, A107464, A107953, A107954.
Sequence in context: A142451 A083980 A144327 * A061331 A177683 A209549
Adjacent sequences: A107952 A107953 A107954 * A107956 A107957 A107958


KEYWORD

easy,nonn,tabl


AUTHOR

Venkat Murali (v.murali(AT)ru.ac.za), Jun 01 2005


STATUS

approved



