OFFSET
0,2
COMMENTS
LINKS
Vincenzo Librandi, Rows n = 0..100, flattened
FORMULA
T(n,k) = 3^(n-k)*n!/(n-k)! for n>=0, k=0..n.
E.g.f. (by columns): exp(3x)*x^k.
EXAMPLE
Triangle begins:
1;
3, 1;
9, 6, 2;
27, 27, 18, 6;
81, 108, 108, 72, 24;
243, 405, 540, 540, 360, 120;
729, 1458, 2430, 3240, 3240, 2160, 720;
2187, 5103, 10206, 17010, 22680, 22680, 15120, 5040;
6561, 17496, 40824, 81648, 136080, 181440, 181440, 120960, 40320; etc.
MATHEMATICA
Flatten[Table[n!/(n-k)!*3^(n-k), {n, 0, 10}, {k, 0, n}]]
PROG
(Magma) [Factorial(n)/Factorial(n-k)*3^(n-k): k in [0..n], n in [0..10]];
CROSSREFS
KEYWORD
AUTHOR
Vincenzo Librandi, Nov 10 2012
STATUS
approved