A126446 Column 0 of triangle A126445; a(n) = binomial( binomial(n+2,3), n).

1, 1, 6, 120, 4845, 324632, 32468436, 4529365776, 840261910995, 200063149171380, 59473554359599446, 21592914273609648996, 9403538945961296957821, 4838670732821812768919800, 2904538537066424425438417800

Offset: 0

Author

Paul D. Hanna, Dec 27 2006

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A126445; A126447, A126448, A126449; A126451, A126455, A126458.

Programs

Magma

[(Binomial(Binomial(n+3, n), n+1)): n in [-1..20]]; // Vincenzo Librandi, Mar 04 2018

Mathematica

Table[Binomial[n (n + 1) (n + 2) / 3!, n], {n, 0, 20}] (* Vincenzo Librandi, Mar 04 2018 *)

PARI

a(n)=binomial(n*(n+1)*(n+2)/3!, n)

Sage

[(binomial(binomial(n+3,n),n+1)) for n in range(-1, 12)] # Zerinvary Lajos, Nov 30 2009