A285878 Number of possible chess games at the end of the n-th ply starting with just pawns and king.

1, 18, 324, 5658, 98766, 1683597, 28677387, 479763588, 8014917042, 132060434889, 2170519816231

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 queens, rooks, knights, and bishops.

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

Initial terms computed using the Chesspresso engine.

Examples

			a(1) = 18 since each pawn can move forward 1 or 2 squares (16 moves) or the king can move left or right (2 moves).
		

Links

• Bernhard Seybold, Chesspresso.

Crossrefs

Cf. A048987 (standard), A285873 (no queens), A285874 (no rooks), A285875 (no knights), A285876 (no bishops), A285877 (no pawns).

Extensions

a(10) from Sean A. Irvine, May 04 2017