login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A037976 C(4*n,2*n)/4-(-1)^n*C(2*n,n)/4+(1-(-1)^n)*C(2*n,n)^2/4. 1
0, 4, 16, 436, 3200, 78004, 675808, 15919320, 150266880, 3450748180, 34461586016, 774842070600, 8061900244736, 178065876017176, 1912172640160960, 41596867935469936, 458156035085377536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

The right-hand side of a binomial coefficient identity in H. W. Gould, Combinatorial Identities, Morgantown, 1972.

LINKS

Table of n, a(n) for n=0..16.

MAPLE

A037976 := proc(n)

    binomial(4*n, 2*n)/4-(-1)^n*binomial(2*n, n)/4+(1-(-1)^n)*binomial(2*n, n)^2/4 ;

end proc:

seq(A037976(n), n=0..30) ; # R. J. Mathar, Jul 26 2015

CROSSREFS

Sequence in context: A156337 A000874 A061580 * A013138 A262546 A013006

Adjacent sequences:  A037973 A037974 A037975 * A037977 A037978 A037979

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 00:37 EDT 2021. Contains 345125 sequences. (Running on oeis4.)