The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A264411 a(n) = binomial(2*n^2, n). 1
 1, 2, 28, 816, 35960, 2118760, 156238908, 13834413152, 1429702652400, 168899639028120, 22451004309013280, 3316276739861976176, 538884034480519066248, 95533608280955635872536, 18348499272339029224271680, 3795302872076181378439692480, 841141456821158064519401490400, 198852623925936212550698141090040, 49949550731916384239220134110005024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..300 FORMULA a(n) = Sum_{k=0..n} binomial(n^2, k) * binomial(n^2, n-k). a(n) ~ (2*n)^(n-1/2) * exp(n-1/4) / sqrt(Pi). - Vaclav Kotesovec, Dec 01 2015 MATHEMATICA Table[Binomial[2*n^2, n], {n, 0, 15}] (* Vaclav Kotesovec, Dec 01 2015 *) PROG (PARI) {a(n)=binomial(2*n^2, n)} for(n=0, 15, print1(a(n), " ")) (PARI) {a(n)=sum(k=0, n, binomial(n^2, k)*binomial(n^2, n-k))} for(n=0, 15, print1(a(n), " ")) CROSSREFS Sequence in context: A098631 A089836 A090249 * A009256 A012725 A264637 Adjacent sequences: A264408 A264409 A264410 * A264412 A264413 A264414 KEYWORD nonn AUTHOR Paul D. Hanna, Nov 26 2015 STATUS approved

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

Last modified September 26 03:54 EDT 2023. Contains 365650 sequences. (Running on oeis4.)