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Search: id:A099112
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A099112 Number of rhombus tilings of a hexagon with all sides of length 2n which contain the rhombus above and next to the center of the hexagon. +0
6
6, 73080, 472598638512, 1631619756904447290240, 3008692066440440678503082183460000, 2962701176869736970134706082584757742017500000000 (list; graph; listen)
OFFSET

1,1

LINKS

M. Fulmek and C. Krattenthaler, [math/9909038] The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II

PROGRAM

(PARI) a(n)=(1/3-1/12*binomial(2*n, n)^3/binomial(6*n, 3*n))*prod(i=1, 2*n, prod(j=1, 2*n, prod(k=1, 2*n, (i+j+k-1)/(i+j+k-2))))

CROSSREFS

Cf. A099112-A099117, A008793.

Adjacent sequences: A099109 A099110 A099111 this_sequence A099113 A099114 A099115

Sequence in context: A076913 A101450 A101439 this_sequence A086897 A034208 A003834

KEYWORD

nonn

AUTHOR

Ralf Stephan, Oct 01 2004

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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