The (2, k)-distance Jacobsthal numbers of the first kind J(1)(k, n)
| n | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| J(1)(1, n) | 0 | 1 | 1 | 3 | 5 | 11 | 21 | 43 | 85 | 171 | 341 | 683 | 1365 | 2731 | 5461 | 10923 |
| J(1)(2, n) | 0 | 1 | 0 | 3 | 0 | 9 | 0 | 27 | 0 | 81 | 0 | 243 | 0 | 729 | 0 | 2187 |
| J(1)(3, n) | 0 | 1 | 0 | 2 | 1 | 4 | 4 | 9 | 12 | 22 | 33 | 56 | 88 | 145 | 232 | 378 |
| J(1)(4, n) | 0 | 1 | 0 | 2 | 0 | 5 | 0 | 12 | 0 | 29 | 0 | 70 | 0 | 169 | 0 | 408 |
| J(1)(5, n) | 0 | 1 | 0 | 2 | 0 | 4 | 1 | 8 | 4 | 16 | 12 | 33 | 32 | 70 | 80 | 152 |
| J(1)(6, n) | 0 | 1 | 0 | 2 | 0 | 4 | 0 | 9 | 0 | 20 | 0 | 44 | 0 | 97 | 0 | 214 |
| J(1)(7, n) | 0 | 1 | 0 | 2 | 0 | 4 | 0 | 8 | 1 | 16 | 4 | 32 | 12 | 64 | 32 | 129 |
The (2, k)-distance Jacobsthal numbers of the second kind J(2)(k, n)
| n | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| J(2)(1, n) | 0 | 1 | 1 | 3 | 5 | 11 | 21 | 43 | 85 | 171 | 341 | 683 | 1365 | 2731 | 5461 | 10923 |
| J(2)(2, n) | 0 | 1 | 1 | 3 | 3 | 9 | 9 | 27 | 27 | 81 | 81 | 243 | 243 | 729 | 729 | 2187 |
| J(2)(3, n) | 0 | 1 | 1 | 2 | 3 | 5 | 8 | 13 | 21 | 34 | 55 | 89 | 144 | 233 | 377 | 610 |
| J(2)(4, n) | 0 | 1 | 1 | 2 | 2 | 5 | 5 | 12 | 12 | 29 | 29 | 70 | 70 | 169 | 169 | 408 |
| J(2)(5, n) | 0 | 1 | 1 | 2 | 2 | 4 | 5 | 9 | 12 | 20 | 28 | 45 | 65 | 102 | 150 | 232 |
| J(2)(6, n) | 0 | 1 | 1 | 2 | 2 | 4 | 4 | 9 | 9 | 20 | 20 | 44 | 44 | 97 | 97 | 214 |
| J(2)(7, n) | 0 | 1 | 1 | 2 | 2 | 4 | 4 | 8 | 9 | 17 | 20 | 36 | 44 | 76 | 96 | 161 |