OFFSET
1,2
COMMENTS
Triangle is P*M, where P is Pascal's triangle as an infinite lower triangular matrix and M is the infinite bidiagonal matrix with (1,2,3...) in the main diagonal and (1,1,1...) in the subdiagonal.
EXAMPLE
First few rows of the triangle are:
1;
2, 2;
3, 5, 3;
4, 9, 10, 4;
5, 14, 22, 17, 5;
6, 20, 40, 45, 26, 6
...
MAPLE
T:=(n, k)->k*binomial(n-1, k-1)+binomial(n-1, k): for n from 1 to 12 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form
MATHEMATICA
Flatten[Table[k Binomial[n-1, k-1]+Binomial[n-1, k], {n, 20}, {k, n}]] (* Harvey P. Dale, Jan 28 2012 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson & Roger L. Bagula, Nov 05 2006
EXTENSIONS
Edited by N. J. A. Sloane, Nov 24 2006
STATUS
approved