OFFSET
2,1
COMMENTS
Row sums give sequence A033484(n)*(n+2). Essentially same triangle as A051597(n,k)*(n+2). - Philippe Deléham, Oct 01 2003
LINKS
Michel Lassalle, A new family of positive integers
FORMULA
f(n, p, k) = binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1).
EXAMPLE
2; 6,6; 12,16,12; 20,35,35,20; ...
MAPLE
f := proc(n, p, k) convert( binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1), `StandardFunctions`); end;
MATHEMATICA
t[n_, k_] := n*HypergeometricPFQ[{-k, 2-n, k-n}, {1, 1-n}, 1]; Table[t[n, k], {n, 2, 12}, {k, 1, n-1}] // Flatten (* Jean-François Alcover, Jan 14 2014 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Oct 17 2002
STATUS
approved