OFFSET
0,3
REFERENCES
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 91, #43 and p. 135, [3i'].
LINKS
G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened
John Riordan and N. J. A. Sloane, Correspondence, 1974
FORMULA
T(n,k) = binomial(n+1,n-k+1)*(n-k+1)^k. - R. J. Mathar, Mar 14 2013
EXAMPLE
Triangle begins:
1;
1, 2;
1, 6, 3;
1, 12, 24, 4;
1, 20, 90, 80, 5;
1, 30, 240, 540, 240, 6;
1, 42, 525, 2240, 2835, 672, 7;
...
MATHEMATICA
t[n_, k_] := Binomial[n + 1, k]*(n - k + 1)^k; Flatten@Table[t[n, k], {n, 0, 9}, {k, 0, n}] (* Arkadiusz Wesolowski, Mar 23 2013 *)
PROG
(Magma) /* As triangle: */ [[Binomial(n+1, n-k+1)*(n-k+1)^k: k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, Aug 22 2015
(PARI) for(n=0, 25, for(k=0, n, print1(binomial(n+1, k)*(n-k+1)^k, ", "))) \\ G. C. Greubel, Jan 05 2017
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Jan 25 2001
STATUS
approved