cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A245053 Number of hybrid 10-ary trees with n internal nodes.

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%I A245053 #6 Jul 10 2014 19:18:05
%S A245053 1,2,39,1103,36650,1333156,51392991,2062946770,85311756697,
%T A245053 3609589528430,155513170273468,6799151325525095,300899538364069838,
%U A245053 13453346159391591392,606776046327452415295,27573839101542183831805,1261298294289947726165466,58029238642196850552991302
%N A245053 Number of hybrid 10-ary trees with n internal nodes.
%H A245053 Alois P. Heinz, <a href="/A245053/b245053.txt">Table of n, a(n) for n = 0..300</a>
%H A245053 SeoungJi Hong and SeungKyung Park, <a href="http://dx.doi.org/10.4134/BKMS.2014.51.1.229">Hybrid d-ary trees and their generalization</a>, Bull. Korean Math. Soc. 51 (2014), No. 1, pp. 229-235
%F A245053 a(n) = 1/(9*n+1) * Sum_{i=0..n} C(9*n+i,i)*C(9*n+i+1,n-i).
%F A245053 a(n) = [x^n] ((1+x)/(1-x-x^2))^(9*n+1) / (9*n+1).
%F A245053 G.f. satisfies: A(x) = (1+x*A(x)^9) * (1+x*A(x)^10).
%p A245053 a:= n-> add(binomial(9*n+i, i)*binomial(9*n+i+1, n-i), i=0..n)/(9*n+1):
%p A245053 seq(a(n), n=0..20);
%Y A245053 Column k=10 of A245049.
%K A245053 nonn
%O A245053 0,2
%A A245053 _Alois P. Heinz_, Jul 10 2014