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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A337420 a(n) = Sum_{k=0..n} (-n)^(n-k) * binomial(2*k,k) * binomial(2*n,2*k). 2
 1, 1, -14, -7, 1222, -14873, 26196, 3522955, -110841786, 2088947819, -15869398244, -823790768205, 55262757020956, -2199333670723343, 65894251730104552, -1235877788883794355, -18904175519674543546, 3743957841955101437667, -268850524243738610546292, 14826380281246309472525851 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS MATHEMATICA a[n_] := Sum[If[n == 0, Boole[n == k], (-n)^(n - k)] * Binomial[2*k, k] * Binomial[2*n, 2*k], {k, 0, n}]; Array[a, 20, 0] (* Amiram Eldar, Aug 27 2020 *) PROG (PARI) {a(n) = sum(k=0, n, (-n)^(n-k)*binomial(2*k, k)*binomial(2*n, 2*k))} CROSSREFS Main diagonal of A337419. Cf. A337388. Sequence in context: A040185 A033964 A275337 * A154037 A248600 A240245 Adjacent sequences:  A337417 A337418 A337419 * A337421 A337422 A337423 KEYWORD sign AUTHOR Seiichi Manyama, Aug 27 2020 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 May 18 02:30 EDT 2022. Contains 353779 sequences. (Running on oeis4.)