A285877 Number of possible chess games at the end of the n-th ply starting without pawns.

1, 50, 2125, 96062, 4200525, 191462298, 8509434855, 390020597683

Offset: 0

Author

Sean A. Irvine, Apr 28 2017

Keywords

• nonn
• hard
• more
• fini

Comments

Gives the number of possible chess games where both sides start without pawns.

Does not include games which end in fewer than n plies.

The initial terms exceed the corresponding terms in A048987, but this should eventually reverse and we should have A285877(n) <= A048987(n) for large enough n.

Initial terms computed using the Chesspresso engine.

Links

• Chesspresso^TM.

Crossrefs

Cf. A048987 (standard), A285873 (no queens), A285874 (no rooks), A285875 (no knights), A285876 (no bishops), A285878 (pawns and king).