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

0,2

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

Table of n, a(n) for n=0..7.

Chesspresso^TM.

Crossrefs

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

Sequence in context: A238283 A240191 A231696 * A156087 A162919 A163290

Adjacent sequences: A285874 A285875 A285876 * A285878 A285879 A285880

Keyword

nonn,hard,more,fini

Author

Sean A. Irvine, Apr 28 2017

Status

approved