A383905 Square table read by descending antidiagonals where T(n,k) = binomial(k+2^n-2,k).
1, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 6, 7, 1, 0, 1, 10, 28, 15, 1, 0, 1, 15, 84, 120, 31, 1, 0, 1, 21, 210, 680, 496, 63, 1, 0, 1, 28, 462, 3060, 5456, 2016, 127, 1, 0, 1, 36, 924, 11628, 46376, 43680, 8128, 255, 1, 0, 1, 45, 1716, 38760, 324632, 720720, 349504, 32640, 511, 1
Offset: 0
Examples
Rows start:
1, 0, 0, 0, 0, ...
1, 1, 1, 1, 1, ...
1, 3, 6, 10, 15, ...
1, 7, 28, 84, 210, ...
1, 15, 120, 680, 3060, ...
Programs
-
Maple
T:= (n, k)-> binomial(k+2^n-2, k): seq(seq(T(n, d-n), n=0..d), d=0..10); # Alois P. Heinz, May 16 2025
Comments