Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A099113
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A099113 Number of rhombus tilings of a hexagon with all sides of length 2n+1 which contain the rhombus above and next to the center of the hexagon. +0
1
364, 94682016, 13704096621766720, 1074416738842280125146121600, 45276656003305722314718295417920118125000, 1022271041965503132822786100650613600920143229195000000000 (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+1/3*binomial(2*n, n)^3/binomial(6*n+2, 3*n+1))*prod(i=1, 2*n+1, prod(j=1, 2*n+1, prod(k=1, 2*n+1, (i+j+k-1)/(i+j+k-2))))

CROSSREFS

Cf. A099112-A099117, A008793.

Sequence in context: A140935 A022196 A098252 this_sequence A073304 A011763 A116354

Adjacent sequences: A099110 A099111 A099112 this_sequence A099114 A099115 A099116

KEYWORD

nonn

AUTHOR

Ralf Stephan, Oct 01 2004

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


AT&T Labs Research