OFFSET
0,3
COMMENTS
In the array, the first m is 1; the first n is 0.
Every term of the array is a positive integer.
FORMULA
For n>=1, T(m,n) also equals (H(2m+n-1) - H(n-1)) * (2m+n-1)!/((2m+2n-1) (n-1)!), where H(k) = H(1,k), the k-th harmonic number.
EXAMPLE
Array: (The upper-leftmost term is T(1,0).)
1, 2, 24, 720 (Row equals {(2m-2)!}.)
1, 10, 252 (Row equals {H(1,2m) (2m)!/(2m+1)}, where H(1,2m) = the (2m)th harmonic number.)
1, 22 (Row equals {H(2,2m)*(2m)!/(2m+3)}.)
1 (Row equals {H(3,2m)*(2m)!/(2m+5)}.
The column {T(1,n)} consists entirely of 1's.
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Leroy Quet, Mar 16 2008
EXTENSIONS
More terms from R. J. Mathar, Apr 01 2008
STATUS
approved