OFFSET
1,2
COMMENTS
LINKS
G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened
FORMULA
T(n,k) = k*n*(k+1)*(n+1)*(3*n^2 + (4*k+11)*n + 3*k^2 - k + 16)/144.
EXAMPLE
Northwest corner:
1, 4, 11, 25, 50, 91, 154
5, 19, 49, 105, 200, 350, 574
15, 55, 136, 280, 515, 875, 1400
35, 125, 300, 600, 1075, 1785, 2800
70, 245, 575, 1125, 1975, 3220, 4970
MATHEMATICA
g[n_, k_]:=k*n(k+1)(n+1)(3n^2+(4k+11)n+3k^2-k+16)/144;
TableForm[Table[g[n, k], {n, 1, 10}, {k, 1, 15}]]
Table[g[n-k+1, k], {n, 14}, {k, n, 1, -1}]//Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Jan 29 2011
STATUS
approved