I wonder if building this table can be sped up by noticing a recurring pattern?

    x    0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 ... 254 255
    f(x) 0  0  1  2  3  3  4  5  6  6  7  8  9  9 10 11 12 12 ... 190 191

So something like

    sta table,y
    iny
    sta table,y
    adc $0
    iny    
    sta table,y
    adc $0
    iny    
    sta table,y
    adc $0
    iny    

used as the loop body that should be repeated 64 times, should work. Will it take less than 6000 cycles total?