OFFSET
0,2
COMMENTS
Fourth column in A104684. - Paul Barry, May 02 2005
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
Ömür Deveci and Anthony G. Shannon, Some aspects of Neyman triangles and Delannoy arrays, Mathematica Montisnigri (2021) Vol. L, 36-43.
A. Petojevic and N. Dapic, The vAm(a,b,c;z) function, Preprint 2013.
G. Thimm, Emails to N. J. A. Sloane, Sep. 1994
FORMULA
a(n) = binomial(2n+3, n) * binomial(n+3, 3). - Paul Barry, May 02 2005
G.f.: G(0) where G(k) = 1 + 4*x*(k+1)*(4*k+5)/((2*k+1)^2 - x*(2*k+1)^2*(2*k+3)*(4*k+7)/(x*(2*k+3)*(4*k+7) + 2*(k+1)^2/G(k+1))); (continued fraction, 3rd kind, 3-step). - Sergei N. Gladkovskii, Jul 12 2012
D-finite with recurrence: n*a(n) + 2*(n-11)*a(n-1) + 12*(-2*n-1)*a(n-2) = 0. - R. J. Mathar, Nov 24 2012
MATHEMATICA
Array[Binomial[2 # + 3, #]*Binomial[# + 3, 3] &, 19, 0] (* Michael De Vlieger, Aug 18 2021 *)
PROG
(Magma) [Binomial(2*n+3, n)*Binomial(n+3, 3): n in [0..20]]; // Vincenzo Librandi, Aug 20 2011
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved