Here is a powerful Russian pullup program adaptable to any level of ability. The fighter pullup program can double or triple your pullups in one month.

The 5RM Fighter Pullup Program
Day 1 5, 4, 3, 2, 1
Day 2 5, 4, 3, 2, 2
Day 3 5, 4, 3, 3, 2
Day 4 5, 4, 4, 3, 2
Day 5 5, 5, 4, 3, 2
Day 6 Off
Day 7 6, 5, 4, 3, 2
Day 8 6, 5, 4, 3, 3
Day 9 6, 5, 4, 4, 3
Day 10 6, 5, 5, 4, 3
Day 11 6, 6, 5, 4, 3
Day 12 Off
Day 13 7, 6, 5, 4, 3
Day 14 7, 6, 5, 4, 4
Day 15 7, 6, 5, 5, 4
Day 16 7, 6, 6, 5, 4
Day 17 7, 7, 6, 5, 4
Day 18 Off
Day 19 8, 7, 6, 5, 4
Day 20 8, 7, 6, 5, 5
Day 21 8, 7, 6, 6, 5
Day 22 8, 7, 7, 6, 5
Day 23 8, 8, 7, 6, 5
Day 24 Off
Day 25 9, 8, 7, 6, 5
Day 26 9, 8, 7, 6, 6
Day 27 9, 8, 7, 7, 6
Day 28 9, 8, 8, 7, 6
Day 29 9, 9, 8, 7, 6
Day 30 Off