Well, I'm not quite sure that I understood the question, but I'll have a bash at the answer...
I'm not sure if I understand the question, so I've given pawns 7 spaces to move. Although one individual pawn could cover a triangular area, however only taking one path through it... so I stuck with 7.
King 64 x1 x2 = 128
Queen 64 x1 x2 = 128
Bishop 32 x2 x2 = 128
Knight 64 x2 x2 = 256
Castle 64 x2 x2 = 256
Pawn 7? x8 x2 = 112
Tell me, what was so hard about that? Took me 2 mins with a pen and paper, and 5 mins to type up...
::] krycek [::
PS - If it's right, do I get a prize?