OFFSET
0,5
LINKS
Robert Israel, Table of n, a(n) for n = 0..10010 (rows 0 to 140, flattened)
FORMULA
T(n,k) = C(3n-2k,k), 0 <= k <= n.
G.f. as triangle: (1-x*y)^2/(1 - x - 3*x*y + 3*x^2*y^2 - x^3*y^3). - Robert Israel, Nov 06 2018
T(n,k) = A102547(3*n,k). - R. J. Mathar, Apr 26 2024
EXAMPLE
First 5 rows:
1;
1, 1;
1, 4, 1;
1, 7, 10, 1;
1, 10, 28, 20, 1; [Corrected by Robert Israel, Nov 06 2018]
MAPLE
seq(seq(binomial(3*n-2*k, k), k=0..n), n=0..10); # Robert Israel, Nov 06 2018
MATHEMATICA
PROG
(Magma) /* As triangle */[[Binomial(3*n-2*k, k): k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, Nov 07 2018
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 01 2011
STATUS
approved