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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A245054 Number of hybrid (n+1)-ary trees with n internal nodes. 2
 1, 2, 11, 155, 3920, 148348, 7585749, 492007235, 38798085127, 3609589528430, 387451906370509, 47166300422957938, 6423902286587614629, 968148639856266236900, 159999832729471473179245, 28775750341340155354161817, 5595702924360902427922341048 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..200 SeoungJi Hong and SeungKyung Park, Hybrid d-ary trees and their generalization, Bull. Korean Math. Soc. 51 (2014), No. 1, pp. 229-235 FORMULA a(n) = 1/(n^2+1) * Sum_{i=0..n} C(n^2+i,i) * C(n^2+i+1,n-i). a(n) = [x^n] ((1+x)/(1-x-x^2))^(n^2+1) / (n^2+1). a(n) = A245049(n,n+1). a(n) ~ 2^(n-1/2) * exp(n+1/4) * n^(n-5/2) / sqrt(Pi). - Vaclav Kotesovec, Jul 11 2014 MAPLE a:= n-> add(binomial(n^2+i, i)*binomial(n^2+i+1, n-i), i=0..n)/(n^2+1): seq(a(n), n=0..20); MATHEMATICA Table[Sum[Binomial[n^2+i, i]*Binomial[n^2+i+1, n-i], {i, 0, n}]/(n^2+1), {n, 0, 20}] (* Vaclav Kotesovec, Jul 11 2014 *) CROSSREFS Main diagonal of A245049. Sequence in context: A287149 A188684 A143875 * A058154 A275923 A288560 Adjacent sequences: A245051 A245052 A245053 * A245055 A245056 A245057 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 10 2014 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 7 09:52 EDT 2024. Contains 375730 sequences. (Running on oeis4.)