A223968 Square array T, read by antidiagonals: T(n,k) = 0 if n-k >= 5 or if k-n >= 6, T(4,0) = T(3,0) = T(2,0) = T(1,0) = T(0,0) = T(0,1) = T(0,2) = T(0,3) = T(0,4) = T(0,5) = 1, T(n,k) = T(n-1,k) + T(n,k-1).
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 0, 0, 6, 15, 20, 15, 5, 0, 0, 6, 21, 35, 35, 20, 0, 0, 0, 0, 27, 56, 70, 55, 20, 0, 0, 0, 0, 27, 83, 126, 125, 75, 0, 0, 0, 0, 0, 0, 110, 209, 251, 200, 75, 0, 0, 0, 0, 0, 0, 110, 319, 460, 451, 275, 0, 0, 0, 0, 0, 0, 0
Offset: 0
Examples
Square array begins: 1....1....1....1....1....1....0....0....0....0....0....0 1....2....3....4....5....6....6....0....0....0....0....0 1....3....6...10...15...21...27...27....0....0....0....0 1....4...10...20...35...56...83..110..110....0....0....0 1....5...15...35...70..126..209..319..429..429....0....0 0....5...20...55..125..251..460..779.1208.1637.1637....0 0....0...20...75..200..451..911.1690.2898.4535.6172.6172 ... Square array, read by diagonals, with 0 omitted: 1, 5, 20, 75, 275, 1001, 3639, 13243, 48280, ... 1, 5, 20, 75, 275, 1001, 3639, 13243, 48280, ... 1, 4, 15, 55, 200, 726, 2638, 9604, 35037, ... 1, 3, 10, 35, 125, 451, 1637, 5965, 21794, ... 1, 2, 6, 20, 70, 251, 911, 3327, 12190, 44744, ... 1, 3, 10, 35, 126, 460, 1690, 6225, 22950, ... 1, 4, 15, 56, 209, 779, 2898, 10760, 39882, ... 1, 5, 21, 83, 319, 1208, 4535, 16932, 62986, ... 1, 6, 27, 110, 429, 1637, 6172, 23104, 86090, ... 1, 6, 27, 110, 429, 1637, 6172, 23104, 86090, ...