OFFSET
1,3
COMMENTS
Antidiagonal sums are in A136396.
FORMULA
T(n,0) = 1; T(n,k) = n*(2+n*(k-1)), k > 0. - R. J. Mathar, Jan 05 2011
EXAMPLE
First few rows of the array:
1 2 3 4 5 6 7 8 9 10 11 A000027
1 4 8 12 16 20 24 28 32 36 40 A008574
1 6 15 24 33 42 51 60 69 78 87 A122709
1 8 24 40 56 72 88 104 120 136 152 A051062
1 10 35 60 85 110 135 160 185 210 235
1 12 48 84 120 156 192 228 264 300 336
1 14 63 112 161 210 259 308 357 406 455
1 16 80 144 208 272 336 400 464 528 592
1 18 99 180 261 342 423 504 585 666 747
Row n=3 is generated by (1 + 3x + 3x^2 + 3x^3 + 3x^4 + ...)^2 = 1 + 6x + 15x^2 + 24x^3 + ..., for example.
MAPLE
A179000 := proc(n, k) if k = 0 then 1; else 2*n+n^2*(k-1) ; end if; end proc: # R. J. Mathar, Jan 05 2011
CROSSREFS
KEYWORD
AUTHOR
Gary W. Adamson, Jan 03 2011
STATUS
approved