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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A358437 a(n) = Sum_{j=0..n} binomial(n, j)*C(n)*C(n-j), where C(n) is the n-th Catalan number. 3
 1, 2, 10, 75, 714, 7896, 96492, 1265550, 17496050, 251958564, 3748716036, 57282665622, 895001791740, 14249639190000, 230568513719400, 3783394404776475, 62848104088770450, 1055378592304360500, 17894108081334292500, 306026774743629058350, 5274529871824080624900 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. FORMULA a(n) = C(n)^2*hypergeom([-n - 1, -n], [1/2 - n], -1/4). a(n) = ((-80*n^3 + 240*n^2 - 220*n + 60)*a(n-2) + (24*n^3 - 20*n^2 + 4*n)*a(n-1)) / (n*(n + 1)^2) for n >= 2. MAPLE C := n -> binomial(2*n, n)/(n + 1): A358437 := n -> add(binomial(n, j)*C(n)*C(n-j), j = 0..n): seq(A358437(n), n = 0..20); CROSSREFS Cf. A000108, A358436. Sequence in context: A191812 A059104 A094071 * A289679 A352270 A136222 Adjacent sequences: A358434 A358435 A358436 * A358438 A358439 A358440 KEYWORD nonn AUTHOR Peter Luschny, Nov 16 2022 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 November 30 23:40 EST 2023. Contains 367464 sequences. (Running on oeis4.)