login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A051643 Central elements in Parker's partition triangle. 0
1, 3, 20, 169, 1667, 18084, 208960, 2527074, 31630390, 406680465, 5342750699, 71442850111, 969548468960, 13323571588607, 185072895183632, 2594890728951909, 36681505784903758, 522291180086851188 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

R. K. Guy, Parker's permutation problem involves the Catalan numbers, Amer. Math. Monthly 100 (1993), 287-289.

FORMULA

a(n) = coefficient of q^((n^2-1)/2) in q-binomial coefficient [2n, n]

CROSSREFS

A047812, A007042.

Sequence in context: A012882 A063017 A145329 * A154644 A000891 A129840

Adjacent sequences:  A051640 A051641 A051642 * A051644 A051645 A051646

KEYWORD

easy,nonn,nice

AUTHOR

James A. Sellers (sellersj(AT)math.psu.edu)

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 16:51 EST 2012. Contains 205938 sequences.